I'm surely bikeshedding, but isn't Bluesky a terrible name for a social network?
But even with that said, I thought "Bluesky" seemed perfectly fine as a name. It's perhaps tying itself a bit to being an "escape" or "clean start" (implicitly "from twitter", now that many people are dissatisfied with Elon's leadership), but nobody is going to forget that aspect of the social media landscape for a while, so I don't think it's a problem.
Also props to the logo designer, I really like the fact that it's a thread.
Whereas Bluesky is firmly English, and probably tilting more towards American corporate English in terms of "Blue sky thinking". Substitute CielBleu as a thought experiment.