This sounds like circular replication that was possible back in MySQL 3.x using asynchronous replication, and generally not recommended for primary-primary setu

This sounds like circular replication that was possible back in MySQL 3.x using asynchronous replication, and generally not recommended for primary-primary setups. I can't speak for others but to my mind Galera or Group Replication are the "modern" solutions to multi-primary MySQL replication. Both are considered virtually-synchronous, and thus actively prevent conflicting queries from succeeding.