you might have seen this behavior as well when the replication between the TMS and VCS is broken still the Jabber/movi clients remain working. Only the new users created during this time won't be able to login. So its the same behavior.
The provisioned data on TMS will be pushed to VCS database and remain cached over there. Even in case the replication is disabled the provisioned data would be available via VCS. so i don't feel any operation to be hampered if you disable the replication.
Although any chages to provisioning done during this time will not be pushed to vcs side.
These are the paths to get to each CCX logs through CLI. They may be helpful if you are having issues accessing RTMT or downloading logs through it.
If you want to download them you have to prefix "file get " and you can add one of the options (re...