I love, love, love my 85II for all reasons stated above, but seriously, this lens has really bad LOCA that's difficult to fix in post.
If they found a way to reduce the green/magenta bokeh CA, I would upgrade in a heartbeat (assuming that's even possible on 1.2 lenses)
It is correctable to some degree through use of APO lens designs. As always, though, there are varying degrees of effectivity even among respective APO designs, and if we REALLY demand the goods...we're probably in Leica territory for price.
The third party makers (Sigma!) often designate APO on lenses, but while the design may be APO, their particular realization of the design usually leaves much to be desired. This can be due to any number of design constraints.
Canon's L-series Flourite coatings are part of their APO equations where used. However, to the best of my knowledge, the 85mm f/1.2L is not an APO design. Maybe someone has more or better information than I have, though.
Leica made a 90mm APO lens that will show you what REAL APO can achieve in shorter lenses in the portrait range. It sold for almost $4k, though. How badly do you want rid of that LOCA on the Canon 85? I'm pretty ok with mine! ;-)