They make life hell for database clustering, merges and migrations.
In addition, on a more minor level, in a client-centric (apps, browser JS etc) world, the use of incremental numbers is an un-necessary pain point. If you use UUIDs, the client can generate its own without the need to a call back to the API (unless necessary in context, obviously).
Frankly, IMHO in the 21st century, the use of incremental numbers for IDs in databases thoroughly deserves to be consigned to the history books. The desperate clutching at straws arguments that went before (storage space, indexing etc.) are no longer applicable in the modern database and modern computing environment.