That is correct. Dish does not care where the Hopper is. However, they cannot control the loss of Network programming. That's going to happen as you move and it cannot be prevented. As long as you have also have the Dish Solo Node switch added to the Trav'ler then everything else will work and you could even bring a client to put in another room if a coax runs to that location.
If you do not have the Solo Node switch installed you will be able to watch all of your channels but you will not be able to use all of the tuners or activate the PTAT feature.
By the way, in case someone mentions the DNS option, the PTAT option does not work with DNS.