They are large language models, they can translate very well, but they cannot form original changes without heavy supervision/review and indefinite feedback loops. Most of these projects you see are just a way to gather attention or justify technology that is flawed at a fundamental level for the use case it pretends to be good for. Rust in particular has a very strict compiler and a lot of tokens/language features/syntax that hint at specific behavior tightening the feedback loop.

Maybe I'm very uneducated on this, but what exactly is the problem with postgres in its current state? Why do you need rust to make changes easier?

The only justification I see here is this claim and it is nowhere published or verifiable:

"Update: We're working on a new not yet published version of pgrust that currently passes 100% of Postgres regression suite, has a thread per connection model instead of process per connection, is 50% faster than Postgres on transaction workloads, and is ~300x faster than Postgres on analytical workloads (2x slower than Clickhouse on clickbench and we think it can get faster than Clickhouse). Follow pgrust or join our Discord for updates!"