FWIW, The way I have been scheduled if no other assignment was avail and I was required to have rest. DO+required rest, then LC.
I guess if you answer your phone during your subsequent rest, they place a trip on you with 12 to callout, then you are getting your required rest. I say do not answer the phone until you have that rest.
Normally they will assign you rest, which you have to acknowledge and then a trip if it ever cuts that close.