Update to my previous worry about possible vehicle problem because can't follow 2010 owners manual to letter: Copied this from GM Authority blog:
Looking at the Owner’s Manual for the
2012 Equinox, one sees six short steps to prepare the vehicle for dinghy-towing behind and RV (or pickup). Step one is to hook it up to the vehicle that will be doing the pulling/towing. From there, steps two and three are to pull the transmission lever into Neutral from Park after turning the key to ON/RUN. From there:
Turn the key back to ACC
Turn off the accessories like the stereo.
To prevent the battery from running down on longer trips, pull fuse number 32, which is for the Discrete Logic Ignition Switch (See photo below.)
Read more:
Chevrolet Equinox: Towing It Behind An RV | GM Authority
Note the process starts with the key in the On/Run position to move transmission to N and not from ACC as my manual states.
So, I am not going to worry about it any more! Thanks everyone for listening to my rantings over nothing.
Going to have tires rotated and front end alignment on Thursday and will be all set to tow.
Happy RVing everyone!