Towing a Equinox do the miles add up

The miles are put on the car (wear and tear) but are not recorded by the odometer.

The miles do not rack up. I made my own fused switch and mounted it in the fuse box cover, works very well. The Equinox curb weight for the LT model with the 4 cyl. comes in a little under 3,800#. I use the Blue-Ox Aventa XL towbar, and a BrakeBuddy supplemental brake. Then Equinox tracks well, I can't see any difference from when I towed a Chevy HHR for 8 seasons that weighed in around 3,300#. The main difference between the two vehicles is a lot more room in the Equinox plus AWD.

Just another thought, put it in an enclosed trailer, protect it from the elements, have a place to store it, no worry about mileage,tows very nice in a vehicle meant to be tow, No wear and tear on the vehicle to be towed, just saying.

Generally, NO modern vehicle with an electronic speedometer/odometer will rack up miles when towed IF the dashboard is not energized.
I presume that is why a fuse has to be removed. It seems, in their infinite wisdom, the automotive engineers decided that the OFF, NOT LOCKED position in the ignition switch was not needed after about 2007, so the switch has to be in the ACCESSORY position to unlock the steering for towing.
HOWEVER, in many newer vehicles they eliminated the steering lock!
I suggest before doing anything, rather than believing what somebody says, read the instructions in "Recreational Towing" in the Owners Manual, then follow them.
As for the weight, there will be variations even in identical models of the same vehicle. The only way to find out what YOUR vehicle weighs is to weigh it. Any truck stop scale will be glad to give you a weight ticket. It may cost $10 or so.
Sorry I can't be of more help, but I tow an '06 Jeep so I don't have to mess with any of that stuff. Ignition switch OFF, Not Locked; transfer case in Neutral; transmission in 6th gear; and we're good to go!