Yes, this might be true for certain roles and certain companies. My understanding is that Google and Facebook have centralized hiring pipelines and so an exception would be a lot more unique than, say, Microsoft, where each org/ team defines their own standards and requirements. (By the way, this is why internal transfers at MS can require an interview process. Some orgs don't trust the hiring standards of other orgs and have rules for which transfers require a technical interview and which don't.)
My comment was based on my personal experience when I worked at Google. I'm mainly an embedded software engineer, though, so I tend to get pinged for more niche projects. Google does internal interviews as well, at least when hopping between letters of the "Alphabet".
When I interviewed, one or two of the questions were stereotypical "reverse the string in Pig Latin while solving tic-tac-toe" or whatever. Most of the questions were directly relevant to real-time safety-critical embedded systems stuff though.
At some point while I was there, Google did some viral marketing leetcode foobar challenge recruiting thing. If you searched for certain keywords, your web browser would do a fancy 3D zoom effect and then give you coding challenges. I did some of them for a couple hours one time. Some of them were tricky word problems, but algorithmically none of them were particularly difficult. The only one I remember had maybe 5 paragraphs of text, and my solution was literally one line of python.
