I think people are rightly skeptical of intuitions for the obvious reason-- they are shortcuts that don't come with easy verification that the "intuiter" knows (and can effectively communicate) the chain of reasoning that led to the conclusion. So you can't tell from the stated intuition whether the corresponding chain of reasoning is correct (or, for any non-trivial intuition, even if there exists a corresponding chain of reasoning at all).

Edit: Well, people are rightly skeptical of intuitions which aren't merely definitional tautologies. The author put definitional tautologies in their list, which seems odd. I don't care about intuitions for which everyone minus edgelords assumes that a thing is being defined in a sentence. It's all the other, subtle intuitions that require unrolling. E.g, if someone thinks it's wrong to torture puppies for fun because everyone has Ring installed nowadays, I want to know that! So I guess we need the edgelords after all :(

I think we heavily overestimate our ability to reason morally though - our thinking just becomes an ad hoc justification for our own intuitions.