I live in a college town, and have lots of liberal arts friends in academia, and have had this discussion many times, a discussion that has a lot of peril, as they get upset very easily about this issue!
As near as I can tell, when they say "critical thinking" they really mean "persuasive thinking". Humanities, given its lack of rigor (or ability to have rigor) compared to STEM, often falls back on persuasive arguments, and so studying them requires you to become persuasive if you want to excel. This is why they can often come into conflict with STEM "arguments" - STEM isn't about persuasion, but about proof and testing and evidence and ... math! You can't persuade the laws of the universe, they are just something that exists. That's why they consider scientists so pedantic.
Anyway, that's the theory I've developed, I hope it has persuaded you some, but if not, it is likely that I trained as an engineer and am rather tepid with my persuasive skills ;)