Sometimes response critical VMs are pinned to the cores at the hypervisor level, and intel's chips support independent (frequency) scaling of CPU cores for some time.
In that scenario, mixed loads won't help. You'll have at least one pinned core, and it can scale relative to the VMs load (considering you also pin hypervisor cores, etc). So, it's possible to hit that pinned core and execute the same timing attack.
I know it's a niche scenario, but it's not an impossible or implausible one. Another possibility is the servers which fill critical roles, but they're idle or in a constant low-load state to have headspace for high loads. Again, attacking these servers are plausible. Considering these servers are not open to internet most of the time, we're bordering on corporate espionage, but it's not the subject here.