To confirm, what is this VSX gateway? A VM, a physical server, several VMs, several physical servers, or something else?
When you say you intend to move the VSX gateway, please describe that process in greater detail. Are we talking a forklift move where the existing VM(s) or physical server(s) will be shut down in one place, moved somewhere else, then powered on there?
"Moving" as in building new VSs on an existing VSX gateway at the new site and deleting them from the old site requires the management server be up.