This, I think, is the crux of the matter.
As an example, I always knew urllib3 as one of the foundational packages that Requests uses. And I was curious, what versions of urllib3 does Requests pull in?
Well, according to https://github.com/psf/requests/blob/main/setup.cfg, it's this:
urllib3>=1.21.1,<3
That is exactly the kind of dependency specification I would expect to see for a package that is using semver: The current version of urllib3 is 2.x, so with semver, you set up your dependencies to avoid the next major-version number (in this case, 3).
So, it seems to me that even the Requests folks assumed urllib3 was using semver.