I have a 2007 Sub LTZ 1500 2WD (104K miles) and I have noticed the last couple of times I pull my travel trailer (abt 7000lbs), my Service StabilitiTrak & service traction control comes on in my information center & disables stabilitrak. No check engine light comes one. Now I have notices this only happens when I make a left hand turn. It doesn't come on immediately and if I park and turn the truck off, the light goes off. Again, it doesn't come back on immediately. I don't loose any engine power. When I pull my boat (2000lbs), I don't have any issues. Also when I drive normal, no issues.

What could cause this issue?