How is the birthday paradox being used incorrectly?
With 365 unique possible IDs, only 23 are needed to break the 50% chance threshold of new IDs colliding with an existing one. With 2.8 trillion unique possible IDs, only 1.7 million are needed to break the 50% chance threshold of new IDs colliding with an existing one.
It seems like an apples to apples comparison to me. Is it not?