I don't at all like the idea, in loudspeakers but especially in headphones, of recommendations based on listening through EQ.
For loudspeakers I can see some semblance of justification. Loudspeakers don't move, and even if most "audiophile" gear is obsolete dross (no or primitive bass management; no room correction) at least speakers are fixed in place and DSP (built into modern equipment, or as an external component) is readily available.
For headphones there is, however, no reasonable justification. I don't think headphones should get a free pass on the necessary condition of pleasing tonal balance, unless the tools to improve it are included in the package.
The primary reason is the headphone amp market is in a state of complete and total failure. Almost universally, the products offered are sonically inferior to a 20 year-old HeadRoom device, There is more SINAD or whatever (BFD after a fairly low level of attainment) but no actually useful innovation in the form of modern processing (PEQ, crossfeed or more advanced room simulation) or the required UI. MiniDSP HA-1's had promise, but ended up a failure because they pulled iDevice compatibility at the last minute. So it ended up being unusable with the devices people actually use with their headphones. Nobody else seems to have even tried to make a useful headphone amp.
Furthermore, software EQ is simply not an acceptable ersatz. I guess there are a few people who prefer to listen to headphones at home. But the bulk of users will use them on the go, or in offices connected to locked-down computers. There is no opportunity to EQ them in such cases, due to the aforementioned market failure in headphone amps. So bottom line a pair of headphones with poor tonality (and no included corrective tools) are bad headphones, regardless of price, brand, etc.