All of the preceding shows why I prefer ‘random number generator’ to ‘pseudo-random number generator’. The only essential difference between ‘pseudo-random numbers’ and ‘true random numbers’ is that we have a good idea of the process by which the first kind come about; we simply choose to ignore that process; whereas for the second kind it is impossible or intractable to know how the numbers came about. They may still be fully determined in ways we do not know and/or cannot reproduce. This is what makes them essential to good cryptography, where the goal is explicitly nothing more than to make decryption intractable.
Better distinguishing terms might be something like ‘algorithmically generated random numbers’ versus ‘random numbers from real-world sampling’, etc.