Just as an anecdotal experience. It doesn't necessarily go without saying.

The most memorable discussion I had around PBT was with a colleague (a skip report) who saw "true" randomness as a net benefit and that reproducibility was not a critical characteristic of the test suite (I guess the reasoning was then it could catch things at a later date?). To be honest, it scared the hell out of me and I pushed back pretty hard on them and the broader team.

I have no issue with a psuedo-random set of test cases that are declaratively generated. That makes sense if that is what is meant by PBT. Since it is just a more efficient way of testing (and you would assume this would allow you to cast a wider net).