On our ducted 5er, yes, the heat and A/C are both controlled from the same thermostat, and will shut off when the set point is reached, and come back on when necessary to maintain the temp.
2003 Ford F-350 V-10 Crew Cab 4WD Long Bed
2004 Jayco Designer Medallion 29 RLTS 5th wheel
Bill, Gayle, and Mindi (dachshund)
Retired at last !
Nothing is foolproof to a sufficiently talented fool.