Personally, when driving in a proxy I am so focused on racing that I really dont-give-a-shaft that I am driving someone else’s car, even if it is competitive by a +/- position with my car. I enjoy learning by struggling to learn the strange car’s handling characteristics.
The only time I may think about ‘my car’ is when I am racing against it; with my main concerns of a) making sure I focus on my lane, not ‘my car’, b) noting any handling problems the other drivers may have with the car, c) noting any good lap times (with ‘my car’) from the the other drivers.
"... get on your bad motor scooter and ride!"
Sammy with Montrose