Agree. I worked for one of these three companies for a span. While I was there, they did have a rule that if you're not driving their car, you can't park it in the covered parking lot. That was the extent of the backlash, and I've lived in this area most of my life. I think a lot of these stories and anecdotes about tires getting slashed, and people being harassed for driving foreign are not accurate today.
I think part of that might be the crowds you hang with. I would expect petty vandalism more from blue collar types than I would engineers and other professional types.
I've been a contractor for one of the Big 3 at one point in the early 2000's. I was given a Kia at Enterprise to drive, and when I came out on my first day, it was encased with no less than 300 pallets and shrinkwrap.
Apparently, they forgot to tell me that you shouldn't drive a non-UAW vehicle onto the parking lot.
Enterprise's Roadside Assistance guy was not happy with me when he had to help me pull the pallets away so I could get my vehicle out.