It depends a bit on what the end listener playback system is going to be. If it's headphones then creating a mix on phones might work pretty well. If its speakers then you should at least hear how your mix sounds on speakers before sending it off. As
Ben says if the phones are good enough then there is no reason why a great speaker mix cannot start on phones.
I used to have a pair of Stax SRX/ Mk III 's electrostatic headphones. Had a special driver box and they needed a high end power amp just to drive them! In the 70's they were around $1000. They are the closest thing I have heard compared to a high quality full range speaker. It is like sitting right in front of a very good studio monitor. I think it is easier listening to a great speaker mix on great headphones. Harder trying to mix on phones and then hearing that on speakers.
You do have to make adjustments. Reverb being one of them. I tend to hear the reverbs very clearly on phones
(hence turning them down) only to find things are a little dry on the speakers. Panning is another area of concern. Headphones accentuate panning so what may sound slightly panned in phones might appear more centre in the speakers. And things that sound panned in speakers can sound extreme panned in the phones and so on.
Keep your mixes fine tuned using buses and stems. Mixing at track level for balance but buses and stems can be trimmed easily.
eg reverbs turned up a little for speakers. You could even use Channel Tools to alter the panning on a stem or buss depending on speaker or headphone listening. It should be possible to get the two areas of speakers/phones satisfied. When I compare mixes on the full speaker system compared to a mono Auratone type speaker at low volume, it is possible in various adjustments to satisfy both of those. Likewise there must be middle ground for speaker/headphone approaches. When several conditions are satisfied like that then translation works over many different playback systems.
I am interested in hearing how those special systems sound that make headphones sound like a pair of
(various!) monitors in a room. That could be well worth investigating. Another area where I find headphones very useful is obviously working out of hours and keeping quiet but for detailed microscopic editing thay are very good indeed. You can hear much more on phones when you start to go through parts in detail.
But for the OP the more money you throw at the headphones the better they are going to be and be tending towards nirvana.
(I could not believe how loud the Stax could go!)