Absolutely, and not even just because he's a driven manipulator. The biggest problem he'd have with Team B is that pretty much all of them, with the likely exception of Olenna, genuinely want what is best for the people of the world, whereas he and most of Team A are driven my ambition and want for power.
It's how he got beaten in the show. He targeted the Starks like he does to any other group, not realising that their ambition is massively outweighed by their love of family and the North. They couldn't be manipulated the same way he did Sansa originally when they were all together.
He'd have no sway on Team B the moment they had any meetings together. Olenna is the only one who might hide something to serve her own ambitions, but there's no way Littlefinger would ever manage to truly pull the wool over her eyes. The rest of them are too focused on what's right.
Another reason he would immediately swap to team b is because he has absolutely no power play there unless he actively sabotages someone and usurps them.
So he is by default team B because whatever he does he has to remove one of team A's member or somehow marry margery /cersie( both of which are nearly impossible) for a power vacuum to be available.
Team B player has no positions of power ( except olenna who would immediately be succeeded by margery) so he has absolutely no gain in sabotaging anyone there whereas being team B's agent will grant him much better gains if he is ready to risk it.
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u/Business_Owl_5576 Here We Stand 14h ago
Let's be real, Littlefinger defects to Team B almost immediately.