I probably didn't phrase the question as well as I should have. If I enable NFS over TCP, then mount a single host using TCP and do testing, will that stomp on the dozens of other clients that still have their UDP mounts?
"Stomp" in what sense?
Enabling NFS-over-TCP doesn't disable NFS-over-UDP, so it won't stomp on them in that sense.
If those clients reboot, then they probably will, if their NFS client code supports NFS-over-TCP, and they haven't been configured to force NFS-over-UDP access, use NFS-over-TCP to the machine with NFS-over-TCP enabled.