Injunction? Who knows? Flip a coin. 50/50 chance, maybe. If the company makes noises about being harmed in any way with any proposed injunction that would prohibit pilots from bidding and accepting new positions, it won't be issued - guaranteed. Parker and his lawyers have more senators on speed-dial than anyone from the west. A lawsuit could proceed with a remedy after the verdict is in. And of course, the big 'if' is if the west prevails, which is highly unlikely, IMHO.
Have a great day.
The company can complain all they want, they are getting named in the suit. As defendants, their complaints would probably cause the entire contract to get blocked, not just section 22.
The company won't mind the injunction at all, it locks status quo, and they seem to have been fine with that for some years now.