I do think the type of testing where QA just follows pre-generated script has place. But it is about long term regression. The first round absolutely should not find anything. But with complex system it also should find nothing in a year or three or five years... Offloading this to dedicate resource could be useful in certain industries.

I did not think of that. Maybe for some industries, it might make sense. But if I want a regression test, I would probably set it up as automated test. In the case I mentioned above it was the only test beside my own for a new service.