Yes, I've found that the HD560s handles a +6.5dB bass boost very well, in fact it's the clearest most detailed bass I've experienced in headphones apart from my planar HE4XX (talking after EQ of course).......it's about on par with the HE4XX in bass detail/clarity, so there should generally be no worries with providing a large bass boost to the HD560s. Oratory's measurements of one of my HD560s I sent him shows very low distortion across the board, and also in the bass, better than many planar headphones even if you compare against Amir's measurements, so here are the Oratory distortion measurements of the HD560s I sent him:
and here's a post in this thread where I talk in more detail about comparing distortion with other headphones, towards the end of this post:
Setup: E30 + L30 I've bought and returned 6 !!! of them because of channel imbalance. Left driver was in all 6 cases more sensible around 8k-13k making the sound image tilt to the left by 5-10% I've done mono tests, reverse test, reverse stereo image + reverse hp to rule out my ears being...
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Amir's HD560s didn't measure quite so well in the distortion department, I'm not sure why.
About your point you mention of the Harman Curve putting the lower mids really low, I think you're talking about the dip/trough around 200Hz. The function of that dip is that it reduces muddiness in headphones, increases general clarity. You'll find that if that area is boosted too much then it will make the headphone too muddy. You don't want it too low though because it would cut off the bass from the rest of the music, and perhaps make the headphone sound too thin - but I've not experimented much in reducing that area beyond what is there in Harman.
You say you generally mess around with each band in the Oratory EQ. I'd be wary of taking that approach because the sharper filters (higher Q) are there to remove peaks & dips that are characteristic flaws of that headphone - to smooth out the frequency response locally to the adjacent frequencies. If you want to tune the headphone to your liking then the wider (lower Q) customisation filters that I mentioned in my previous post would be the ones to change areas of tonality within the frequency response. However, I did add one sharp filter of my own creation to one of my HD560s though, and that was at around 8kHz, I think I put in like a -2 to -3dB Q6 filter to remove a peak of harshness I was experiencing - so that was a change I made to smooth out the frequency response of my unit that wasn't captured in the Oratory EQ.
You make a good point about your idea that if a headphone is close to Harman then you're more likely to be able to tune it to your own perfection with greater ease & success. To support your point, in fact I've found that my 3 units of K702 have a quite large unit to unit variation, and I wasn't able to perfectly tune them using the Oratory EQ and then tweaking the user customisation filters - I improved them by tweaking the customisation to my liking but I couldn't reach the same level of perfection as that achieved by my HD560s that I tuned in the same way. I know it's not really a technical limitation of the potential of the K702, as Oratory has measured one of my K702's and using his measurements of that particular unit I am able to get a very good EQ and an extremely good result - but my point being that using the published Oratory EQ and then tuning the customisation filters by ear is not easy and with not optimal results on a headphone that has high unit to unit variation and finds itself a long way off the Harman Curve.....which supports your theory about the importance of a headphone being close to Harman to allow for successful tuning. One extra point though, if there's not a high degree of unit to unit variation and if the frequency response doesn't have lots of complicated sharp peaks & dips then it could be EQ'd with success by using Oratory EQ and then tweaking the customisation filters, as the Oratory EQ would be a reliable and close to Harman basis on which to do your own further tweaking. So unit to unit variation and the overall smoothness of the frequency response are probably the most important points in being able to get a successful EQ after starting off with an Oratory EQ as the basis (& of course sometimes the Oratory EQ can be the end point too if nothing sounds like it needs changing).
About choosing the right tracks for audio tweaking. My opinion & experience is that you want to choose a variety of tracks that cover the main bases, and some of those tracks need to be very busy and have "everything going on" with the latter especially enabling you to tune overall tonality as you have representatives from all frequency ranges being used to their maximum. I tend to use various Massive Attack tracks to tune bass level, and songs like Unfinished Sympathy are great for tuning vocals because that female vocal is very prominent and can sound harsh if there's too much energy in the 1-3kHz range, so I've found that tuning the vocals just below the point of harshness on that track is a good balance. Massive Attack are also good for tuning the 7kHz and above range because they seperate the music out quite definitively often purposefully counterbalancing the treble & the bass, and I think the "s" sound frequency area is quite a feature in this counterbalancing they do which is around 7kHz, and also where some of the crisper/brighter drum percussion elements come in to counteract that bass. I also think that generally they are high quality sound engineered/produced tracks. I also like using some tracks from Aurora to tweak the vocals, and also bass level, there's some similar elements between Aurora and Massive Attack in how the tracks are balanced and laid out I think. One last good point I want to make for Massive Attack as audio tweaking tracks is that they seperate the music out so well that you can also see that very clearly in Spectrum Analysers as you listen to the music, so it makes it easier to link imperfection in the various sounds you're hearing vs where they're happening in the frequency range - so you know which EQ filters to target.....it's seperated out enough so that you can identify what's going on. For an overall tonality check I think the track Supermassive Black Hole from the band Muse is a good check, as that is super busy including all elements and can sound like a real mess on a system that's not setup correctly, yet when setup correctly you can really distinguish what's going on.....plus you'll be able to tell instantly if overall tonality is off on that track.......and I think that's another high quality recording even though it's extremely busy & loud.