If the same combination is issued multiple times then no, they don’t work as intended.

The issue here wasn’t that the license plate was too colorful, it was that the missing national standardisation allows for over a thousand cars with the same plate.

Then make it 7 or 8 characters like most countries have. Its not like that wouldn’t fit on plates. With 8 chars you could remove 2/3 of all combinations and still have an order of magnitude in reserve.

improve a workers productivity when you compare two workers of equal skill.

It makes you seem more productive in most metrics that corporate america seems to measure, but that doesn’t really mean anything. Even if most of what the current AIs produce would be good quality (and it’s not, its mediocre at best), one hallucination costs you more time than everything it saved you.