Yeah, no. (Source: I've seen a few interviews in my time. On the order of 5k of them)
DP problems are absolute shit at giving a signal, even if the candidate knows DP problems. Because "knows DP" is pretty much the only bit of information you get, with possibly a slight seasoning of "doesn't write utterly horrible code".
The reason they're asked is the reason most interview questions are asked: The interviewer picked them up somewhere, is now familiar with them, and will ask it till the cows come home. (It also allows you to feel all smart and academic when asking it, but that's rarely if ever the main motivation)
Here's an entirely novel concept for evaluating if somebody can write code that solves actual problems. We could ask people to, IDK, write code that solves actual problems. They're there for a day. A good coder can solve some pretty interesting problems in a day.
I know, I know. Heresy. Who'd ever evaluate people by looking at how they do their actual work if you can instead recite shibboleths on a whiteboard?
(Yes, I'm bitter about the tech interview process)