In theory YES this works
But in my expriance DRBD in itself tough very nice software have a habbit on craping on you if you play with it too mich
i.e halting replication 365 times in 1 year for example for everyday backup. chances of you getting split-brain are more than someone who is just "running it" and dont touch a working (replication) every 24 or 12 hours.
Just my experience..i still find rsync multiple times and stop and start services a best overall method for OSS version
Open Source Edition Backup Procedure - Zimbra :: Wiki
Even in very heavy (100 GB + of data) and 24x7 operations with 1000's of users on a system..there is a 2-3 min windows which no-one mind and cold-backup during that time just work fine and have less moving parts
if DRBD will stop on you for some reason..process of recovering from it will be > 2-3 min for sure, may be in hours.
Raj