I’ve taken my Sky One Touch through the car wash a couple of times. You want to avoid the ones that have rotating brushes over the top. Find one that uses the cloth strips. Either way, I wouldn’t make a habit of doing it. Just my opinion.
Yes. Just take it through. I'm pretty sure there is nothing in writing that automatic car washes are a no no for sky top. I'd be more worried about the paint then the top.
I guess I’m in the minority here, but I follow the manual which says not to take the SOT through an automatic wash. I either wash by hand at home or use the self-service bays at a car wash.
I use one that pre hand washes then runs it through with sprayers only. I have used a more convenient one a couple times that uses horse hair brushes but does not have a top brush. Check around they aren’t common but they are around.
Ask the car wash people if they can turn off the brushes and retract them. In upstate NY I utilize this for the winter months for the salt. Nothing touches your jeep except the sprayers. You have to tell the people at the wash every time you go thru but after a while the recognize you.
I was really hesitant at first, but I have taken mine through a "touchless" car wash numerous times with no issues. When I say numerous, I would say about 40-50 times now. Have a yearly subscription and it comes in handy.