I've used Paw and Postman in the past, but never for more than 2 endpoints in one go, never for more than an hour or so in one session. I've only ever got value out of them as "slightly quicker than a Python notebook" solutions for testing out a hypothesis.
The only other thing I can think of is maybe as a way to pass the understanding of an API's nuances from one developer to another, but I've never needed to do that at any higher level than writing the one-weird-trick to make it work into an email to pass on that knowledge.