This is great for internal distributed systems where having ordered keys is useful, however, it should probably be noted that these probably shouldn't be used as public identifiers (even though this will probably be the defacto standard and used publicly without thought). Having any information, specifically time information, leaking from your systems may or may not have unanticipated security or business implication…
Given that a UUID identifier fits in a single cipher block, and the whole point is that these are unique by construction (no IV needed so long as that holds true), it seems like a single round of ECB-mode AES-128 would enable quickly converting between internal/external identifiers. 128 bits -> 128 bits
It is true that now your encryption key is now very long lived and effectively part of your public interface, but depending on your situation that could be an acceptable tradeoff, and there are quite a few pragmatic reasons why that might be true as has been described by other comments.
Edit: you can even do 64bit snowflakes internally to 128bit AES encrypted externally, doesn’t have to be 128-128 obvs