I think it’s very different because the original person made a very bold claim, and the other said “I don’t know if I’ll believe that without evidence”. The burden of proof lies on the one who makes the original claim, not the one who doesn’t believe it without evidence.

Without making a judgement on the veracity of the claims.

There is at least circumstantial evidence in this case. I have noticed that the tactic used to defend biden has become to place insurmountable burden of proof on anyone who claims wrong doing while giving the bidens every benefit of the doubt. Which is gaslighting.

That is akin to saying "there is no evidence OJ killed his wife. The bloody glove found at his home has all the hallmarks of being planted by russian intelligence".

I can't speak for OP but while this is a common cognitive pitfall it's also one which you can intentionally correct for by attempting to anchor your beliefs on original sources and making an effort to find things outside of your immediate community. People are going to be successful at this to varying degrees but as we can see currently there are large segments of the population who never try.