Check out Amir's review of your DAC - there is no possible way you will hear any degradation of sound quality - the improvement from the EQ should be very noticeable, indeed. Personally, I run my speakers full range and cross-over to my sub at 70 Hz (based on testing a range of options). Given you are rolling off at -6 dB around 35 to 40 Hz, you will hear a big difference from adding a sub and, depending on the music you prefer, it might be transformational.I have the ability to play with the EQ in the ADI DAC so I'll have to try some tweaks and measure the response.
The only thing that bugs me about that is, in my use case, I like to leave the DAC in DSD Direct unless I'm listening to headphones. Which disables all EQ and tone control functions. I do this for the purity of the signal chain, and because I have a fairly large amount of digital music in both DSD and high rate PCM. I'll have to try it with the EQ and see. It may sound noticeably better to where I wouldn't want to listen without it.
My alternate route if not adding further bass trapping would be a subwoofer (or 2 but I'm short on space). I'd be interested to see what the FR curve would be running my speakers full range and implementing a rythmik sub perhaps out of phase with the speakers. Crossing the sub in around the second problem peak and running it down to 20Hz.
There's absolutely no way to predict what phase setting for the sub will result in the smoothest crossover without nulls - you just have to try adjustments and test, then chose the one that's easiest to make a final fine EQ adjustment to polish the curve. Given the size of your room, it might be hard - or even impossible - to get down to 20 Hz, so no reason to get a giant sub nor to spend a fortune. You might find a good 10" or 12" sealed one under the chair by the window will do the trick to balance out the full range speakers below 100 Hz.
Regarding traps, and please don't be offended, IMHO you have gone off the deep end there and I don't see the benefit from them in your measurements beyond what good EQ could achieve anyway - so no need to add any more. Other folks are free (and welcome) to argue the other side of this question.
On the other hand you may experience significantly more precise imaging by moving your listening position forward a foot or so. I'd suggest trying sets of measurements 1 foot and 2 to 2.5 feet closer than you are now and seeing what the curves tell you. Also, be sure the coffee table is either covered with a heavy blanket or pushed closer to the speaker plane so it is essentially too close to reflect to your listening position.
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