I use Beyerdynamic DT770 Pro and I think they sound amazing - for the simple reason that I got used to them.
What I mean is - one can use "any" set of headphones as long as you know how they inherently sound. Some headsets lean towards "bassy", others might have a slight boost at 4kHz, etc... If you churn out enough mixes on your headphones, test them on various systems, take notes, go back to your mix and correct accordingly (using the same headphones), you will eventually learn to adjust your mix while compensating to the color that your headset provides.
Besides if you only want to use them for recording late at night, I don't see why you need another set of headphones. It's only when you come to mixing that you need to switch between headsets and speaker-monitors. That's important, because both media reveal certain issues in the mix that are very important.
For e.g., checking reverb on vocals on headset only, might leave it a bit too dry because they are closer to the ears so the reverb tail would be more pronounced. On the other hand, checking reverb only on speakers might leave too much reverb. So you need to check on both.
Ideally, you check on as many different systems as possible. Professional studios have 2 sets of monitoring systems, headphones and even one standalone speaker to check how the music translates to true mono.
But back to the original point - if you get used to the sound / color, you should be fine. That's why even the best mixing engineers carry with them music they are very familiar with so that they aurally test the system they're gonna be working on before they start their new mix.