I don’t believe in things that are considered “supernatural”. However, I don’t think that someone believing in something supernatural disqualifies them from doing good science, the same as someone who has a purely materialist belief system isn’t necessarily qualified to do good science. The clincher for me is that they can do their best to operate science without biasing it.

For example, It’s perfectly possible for someone who believes in string theory to study it as long as they are using the true scientific method, the same as it’s possible for someone who does not believe in string theory to study it with proper scientific method. If you project that same example towards something more controversial, like telepathy, it’s still a valid understanding of how scientific study should work.