I'm not aware of Elite teams funding TOXIII, at least not directly or with their knowledge. It is slightly possible that the ex-Toulouse Zalduendo led FFRXIII is doing it in an opaque manner but if this ever got out there would be an open revolt and probably the end of league in France so I severely doubt it.
For those playing at home, the big division in french league, somewhat brought about by the Dragons, is between those that believe the future is in getting Toulouse into the ESL and those that believe that this will kill off what little is left of the local comp, Elite1 and 2, and a professional french league is the only hope. There are convincing arguments for both sides.
The current FFRXIII committee is firmly in the Toulouse for SL camp but they are increasingly unpopular and won't be voted back in, so the whole Toulouse project could possibly be abandoned at some point. There are musings of efforts to launch a pro comp, but we've heard these before, it's been tried before, and the economic and cultural contexts are no more favourable now than in the past, but for all intents and purposes worse. More info on this should come to light in the following months.