Postgres's strategy has traditionally been to focus on pluggable indexing methods which can be provided by extensions, rather than completely replacing the core heap storage engine design for tables.

That said, there are a few alternative storage engines for Postgres, such as OrioleDB. However due to limitations in Postgres's storage engine API, you need to patch Postgres to be able to use OrioleDB.

MySQL instead focused on pluggable storage engines from the get-go. That has had major pros and cons over the years. On the one hand, MyISAM is awful, so pluggable engines (specifically InnoDB) are the only thing that "saved" MySQL as the web ecosystem matured. It also nicely forced logical replication to be an early design requirement, since with a multi-engine design you need a logical abstraction instead of a physical one.

But on the other hand, pluggable storage introduces a lot of extra internal complexity, which has arguably been quite detrimental to the software's evolution. For example: which layer implements transactions, foreign keys, partitioning, internal state (data dictionary, users/grants, replication state tracking, etc). Often the answer is that both the server layer and the storage engine layer would ideally need to care about these concerns, meaning a fully separated abstraction between layers isn't possible. Or think of things like transactional DDL, which is prohibitively complex in MySQL's design so it probably won't ever happen.