I figure Team Salad would either be a background detail or an exploitable resource depending on how things go, not a group the PCs join.
Like, at most it would be like how in the Hoenn games you team up with whichever team is least crazy in this version to stop the ones that are about to wreck the planet in a misguided attempt to save it. You don't join Team Aqua to defeat Team Magma or vice versa, you just...
Can't do anything about the basic premise though.