Over time people can't help but depend on science's results, and new generations take it to heart. It's actually similar to how people can't help but depend on open source tools/platforms, as much as they hated "free-tards" and said "you get what you pay for" in the past.
So it's pointless to try to rebuke the "scientists always end up being wrong" like of argument. If anything, I think scientists should just bite the bullet. Theory proven wrong? That's proof that science works!
Until it's been reproduced and validated by a few outside - and hopefully disinterested - third parties, we shouldn't accept it as fact but as a theory that could be replaced.
Confusing peer review with fact is a public-perception problem, and a lot of that comes down to various antiscience groups whose work isn't even peer reviewed, let alone tested and challenged.
Science, like every human institution, is flawed. That's not a reason to reject everything about it.