I feel like the discussion about uniform password generation and PRNG, while interesting, is relatively irrelevant here. Even a garbo xorshift-based non uniform PRNG is almost certainly good enough to generate strong random passwords, as long as it's seeded correctly. An attacker is unlikely to gather enough output (generated passwords) to predict other ones, and the passwords are unlikely to be all generated within…
If you generate long elaborate passwords then they can resist some of these flaws but the point is you don't want to introduce a flaw when they are simpler and better solutions out there.
Mistakes are natural, you want to provide the utmost resistance to such exploits which can stack up to become viable.