Like independent film or video games, they couldn't compete head-on with big budget research. But they could presumably make progress in areas ignored by them: longer term, more fundamental research for example.
When I was a postdoc at MIT, it was common for the grad students to want to have a "lunatic fringe" track at conferences or an "unconvential ideas" seminar. But once you're in the heirarchy/buerocracy of academia, you understand why those don't exist. Perhaps independent scientists could actually do them?
[1] https://en.wikipedia.org/wiki/Citizen_science [2] https://en.wikipedia.org/wiki/Independent_scientist