We can't even be sure that Python-the-company is using Python-the software, so ... Furthermore, I think the problem is not here, the PSF clearly made a mistake

We can't even be sure that Python-the-company is using Python-the software, so ... Furthermore, I think the problem is not here, the PSF clearly made a mistake by not registering the name (it's not a matter of 'bad law'). If we apply your solution, then it would mean that a company which does not use Python can still ask to register a global trademark named on the term.