But do they stake something of significant value on those beliefs or just say them on the internet and it's you who is incorrectly believing their claims of their beliefs to be true? People often willingly enjoy false beliefs for emotional reasons and wouldn't actually act on them if the outcome was going to materially affect them.

I used to have a conversation with a crank who kept almost inventing perpetual motion machines. But every time he had nearly finished one, he somehow didn't quite do the last few steps. He talked like he believed they would work but somebody who actually believed that would be chomping at the bit to finish one and prove it working. They'd be richer than God. It seems like some part of him knew it wouldn't and he preferred to enjoy the fantasy of being an unrecognized genius. Does that kind of thinking count as a belief or not? I don't think it's really clear cut. You see a similar inconsistency with religious people who "believe" they'll go to heaven when they die but they still try not to die.