Would be great, but I doubt it. Just imagine: Swtor is basically facing the same problem as WoW: You can't play it with a controller, because especially the action bars do have more than 5 skills. ESO for example works with a controller, which is probably why it's also on Stadia.
But as long as Swtor doesn't get adapted to controller I really doubt it to come to this platform. I mean, you could ask the developers, maybe they plan to bring it? Would be great.
Stadia doesn't require a controller though.
I play Doom and ESO with mouse and keyboard.
SWTOR on Stadia would be a big win for me. Sharing one gaming pc among a family makes it difficult. Having access to SWTOR from my laptop or chromebook through Stadia would be huge.
Really just adding more Star Wars games in generally would be great. How many playthroughs of Jedi Fallen Order can I handle?