Postgres does have things like Citus, or even wire-protocol compatible things like CockroachDB that do scale, but those are not Postgres.
It's the same situation with MySQL vs. Vitess.
sure, citus is an extension of postgres and part of ecosystem.
Point still remains that PostgreSQL lacks a modern, built-in horizontal scalability solution.
Microsoft on the other hand is among the best in keeping such promises.
If Google had bought it, sure...
The writes aren't. There's no sharding for example. You can ever only have 1 primary writer.
I expect the replication story with Postgres will get much better over the next few years.
At what cost though? Does 1 Pg server = 1 Mongo server for the same specs or do you need a lot more Mongo servers?