I`m wondering how negative a single automatic car wash (often accompanied by a drying with sh*tty towels) is from time to time, especially on a daily driver (not a show car or garage queen, but still cared for).

I prefer to hand wash, with the occasional visit to the self-serve coin-op bay in the winter to blow off the dirt/salt. But, from time to time a dealer or other service may as a courtesy or necessity provide a "free" car wash. For example: I have a Krown rust protection treatment coming up, and they really want to get any over-spray etc off of the paint/tires/etc. with an automatic wash immediately after. How do you avoid these kinds of courtesy washes, and how bad are they going to be regarding swirl marks and etc. once in a while?

Thanks!