Mixing on a very good set of headphones has its own set of challenges, but can be an easier path in the long run if you can master the method.
I do not disagree with this.
Two caveats you will need to address:
1) Finding neutral headphones that
have a similar frequency response of monitors (this eliminates like 95% of excellent headphones IME). Most headphones are anemic or at least shy compared to monitors under 150hz, but some will exhibit a better response under 50hz (until you use #2 below and hear it canceled out in the fold down).
2) Pick up a good VST of a room emulator and learn how to tune it to mimic a studio setup. The easiest way I found was to visit a studio for an hour and listen to some material on their monitors, then tweak the settings in my plugin to get the settings right.
That gets you 3/4ths of the way there, and the rest is just learning where deficiencies are in your setup as they compare to other monitor setups and learning how to compensate for them without damaging your end result. That took me maybe 50-75 hours of mixing and reviewing to get passably good at.