What exactly do you mean when you say that there are interruptions in virtual machines? Of course in vSphere Replication upgrade, replications are discontinued. If the upgrade is completed successfully, the replications will resume. However, during the upgrade phase, replications are absolutely interrupted and no data is transferred. Interrupting the replication does not mean that the virtual machine will be down.
In addition, not only vSphere Replication, but vCenter Server is upgraded, there is a break in replication.
Remember to check vSphere Replication compatibility. Upgrade path etc ..
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