TPMS-which works for mh & toad, then toad only?

Since all vehicles weighing less than 10,000 pounds sold in the US since 2007 have to have TPMS systems, for many people this isn't a big deal since their toad already has a built-in system. However, since my TST system functions fine in my MH when the toad is not around, there is no reason why I couldn't put the control module in the toad. It would ignore the "missing" RV tires the same way it ignores the ones in the toad when it isn't around.