I've long thought it was a problem that PostgreSQL doesn't have a real clustering key like MySQL or SQL Server.
But PostgreSQL users have told me it doesn't really matter.
Mainly because indices have to be updated and searched all over the place with UUIDs. The locality of the data on disk itself is fine because its inserted sequential.
Those users were very wrong, unless they explicitly only talked about the case where the uuids are not indexed.
At my last job, this was managed by using two ID's on each row - a serial one that was basically only used for database optimization purposes, and the "real" UUIDv4 ID. It felt gross then, and it feels gross now, but it seemed to do the trick for our needs.
With sequential-ish values indexed by something like b-trees the same index pages get modified over and over again because new table rows will be in a narrow part of the index. As databases / operating systems typically buffer writes for a while, this reduced the number of writes hitting storage substantially.
Conversely, with random values, every leaf page will be modified with the same probability. That's not problem with a small index, because you'll soon dirty every page anyway. But as soon as the index gets larger you'll see many more writes hitting storage.
All new writes ending up on the same node/page/index is a good way to crush your system in a cascading-never-coming-back-up-until-you-drain-traffic-kind-of-way