MySQL replication with binlog_pos was a total crapshoot. The reason innobackupex exists (and anything from Percona, to be honest) is because MySQL's default options were so unworkable. The Postgres equivalent is probably something like barman.
MySQL replication was workable before GTID. GTID simply made things a lot easier. GTID was hard to work into existing DB's at places like Facebook, but it we managed to get things going without a DBA in several multi-TB databases (sans downtime).
GTID is over 4 years old at this point. That's not relatively new in the tech world. Especially with the pace of things like Kubernetes and containers.
There are 3rd party additions to Postgres, too. pg_rewind was written by eBay (?) to address the obvious shortcomings of repointing primaries and replicas.
Some of the MySQL backup/restore stuff is a lot more straightforward (innobackup vs WAL shipping).