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I didn't even bother looking them up. I like that kind of stuff and don't even need to tempt myself.

I wasn't sure if the free version was limited or not.

Hmm, there are surely some differences in the features :) You can read more about that here: https://filmora.wondershare.com/davinci-resolve/davinci-resolve-vs-davinci-resolve-studio.html

I don't see me needing the studio verson but it seems like it would be worth buying one of their cameras to get the studio verson for free.

Yep :) The pocket cinema camera doesn't look bad at all!