I doubt that it would work, as they are bound to use similar shared systems, such as a login system, api backend, etc.
If you still want to persist in the overwhelming odds of failure, do a packet capture on port 53, reboot the devices, and then access the two different systems. Examine what DNS entries that are requested.
You might be able to come up with a set of DNS entries unique to one that you can block but still allow the other to work.