As far as events are concerned, PXC (galera) replication should behave similarly to asynchronous replication.
This is a link to some documentation from MySQL.
https://dev.mysql.com/doc/refman/5.7/en/replication-features-invoked.html
I’ve tested the events and they seem to work on the other nodes (after they are enabled and event-scheduler is set to ON) and as long as the event action is not rolled back due to a BF abort.
There is no automatic failover of the events in the case a node goes down.