I agree with DrBBQ on this one. I have talked with Chris Lilly many times before and poultry is what the white sauce is for. In fact, near the end of the cooking process, the chicken is dipped in the white sauce and placed back on the pit.
I’m not doubting what the waitress may have told you but this is what it is meant for. BTW, their habenero red sauce is my go-to hot sauce at home. It is excellent!