Why should “personal experiences” be a different category than “facts?” (even taking for granted the extra step you mentioned, where it is the use of these experiences within a discussion, not the absolute existence of the experience, at play).
For example, suppose I know you and you are honest and trustworthy, so if you verbally testify to an experience, I’ll believe it.
Why would there be a difference in you coming to me and saying, “I attended a BLM rally and just observed such a clear and obvious peaceful sense of non-violent protesting” vs you coming to me and saying “According to research institute XYZ, statistically almost none of the BLM protests involved violence.”
Both of those things are facts in 100% the same sense, in every way. But because you personally claim to experience one of them, I am likely to give it more weight.
Even though there are plenty of reasonable hypotheses why humans would rely on this heuristic, it is still a big problem and a big source of manipulation, from liars, deceivers, conspiracy theories, debunked cranks, folk wisdom, etc.
If our goal is to believe as accurately as possible then we should not feel accepting or accommodating of a heuristic quirk in which we regard one set of facts that have the door wide open to manipulation (anecdotes of others) as generally more compelling than facts sourced through research, compiling data, journalism and so forth.
If we let up the pressure to thwart this heuristic, the most likely outcome is that people use confirmation bias and folk wisdom to construct false realities - and indeed in the US we have been seeing that play out in a huge violent saga. That didn’t happen because people don’t like being confronted with hard facts, it happened because we have allowed much too weak of a sense of social obligation to align beliefs with accurate predictions, as opposed to merely letting people feel they are entitled to believe whatever they want.