The only major requirements for good headphones recording is #1 contort and #2 a reasonably flat frequency response with a strong enough signal to be heard under live conditions. Closed back is also needed for live vocals so the mic doesn't pick up bleedover from the headphones. Even then with a studio mic setup at maybe 9~12" away with a pop screen and open backed phones at lower volumes may not produce much output to be noticeable.
Contort is the most important. I have about 20 sets of headphones and find a tight fitting C Clamp on my head can become very uncomfortable in a short time. I also wear glasses which adds to the discomfort so I may choose bones that may not sound as good in place of something else just so I can stand wearing them.
Sound quality isn't as important as many think. It doesn't matter is you have the best quality headphones made, Its impossible to mix properly with them. Having the speaker elements directly on your ears can only result in mixing a two dimensional audio image. Because sound moves through the air at different speeds you have to use actual monitors to compensate for those differences. You may luck out and just happen to hit upon a decent mix using headphones but the success rate may only be 10% if you are really really good at mixing.
My advice here is backed by a solid 10 years of using headphones recording when I was piss poor and had young kids in an apartment where it was impossible to record with monitors. When I went to using decent monitors my mixing success rate skyrocketed to were it is today. I may get 10% failure instead of 10% success and even then its more likely a tracking issue or fatigue issue.
When it comes down to it you can dial up better results playing directly through studio monitors at low volume than you can tracking with headphones. The exception would be vocals of course where you can't have bleedover from the monitors. Even then there's a technique that works where you can reverse phase one of the speakers and place the mic in the null between the two speakers and very little sound gets captured by the mic. Room reflection and proper mic positioning are critical factors but its worth investigating if you want to experiment.
Bass guitar played through small monitors can be an issue too. Its easy to flap the woofers in small speakers with a bass signal so having quality gear is a plus. In my case I supplement my near fields with additional amps and speakers. I can flip on extra sets of amps and monitors that can handle the bass and track like I'm playing live. Tracking through a good compressor or limiter takes care of the rest. Even if you only have small monitors, you can dial up levels and tone that minimizes speaker flap. Once you get familiar with the method, you'll find you track with the exact frequencies you need for the mix and additional EQing mixing isn't even needed. That's the goal of a good recording anyway. The less plugins you have to use EQing the mix the less phase issues you have that degrade the sound quality and make the tracks sound more distant from each other.
If you are in a situation where monitors are an annoyance to others than you do what you must to obtain privacy. Otherwise, If you want to get a good three dimensional soundscape mixing there is only one way of doing that and its by using monitors.
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