For me, it's not really the problem.
The main concern is the connection between the city of Nice (ice sports center, main Olympic Village, IBC / MPC) and the alpine zone:
accessibility, infrastructure of transport, travel time ... that would require "Pharaonic" works (in a protected national park).
Plus, the construction of a second bobsleigh/luge track in the French Alps while the first one is already under used (and I do not even mention the one in Cesana Pariol/Torino 2006).
About Toulouse, why not ... although, for me, the city seems too far from the Pyrénées. In this way, Tarbes-Pau-Lourdes seems more "realistic"...
In any case, I think we can forget a French bid for 2022.
In Europe, Munich is a very good option so I hope they will bid again.