This is the kind of thing that made Epicurus say (to paraphrase) that if we can't agree sugar is sweet, we might as well not talk at all. Mine would be that if we can't agree that some evidence is more reliable than other evidence, there is no point in discussing science. It would be meaningless.
That doesn't mean everyone is going to agree on feelings about the evidence or how much they want to know it. But without some baseline agreement that we are going to communicate about evidence reliability and that there is such a thing as being more or less reliable, there's simply no point in talking about it.