I'll give you my thoughts.
Every time the car's paint comes into contact with any type of tool, there will be micro scratches that will be introduced. Regardless of the product, a brand new lambs wool wash mit or a basic shop rag that most of those car washes use.
Unless the carwash is touchless, and I mean 100% touchless then I wouldn't recommend going to one. You can use the touchless, then park your car and hand dry it with some clean, approved towels using appropriate methods of overlapping the towel and starting at clean to dirty (top to bottom). Although the "fresh damp towels" may seem harmless, the actual material that the towels used and how many times they are using that same towel before retiring it and what part of the car they start drying first/last are all important factors.
The only caveat off that is I use a carwash during the winter that involves a process that definitely gives me micro swirls in my paint however I own a dual orbital polisher that I use on the car every summer season opener to remove some of the abuse that the car saw over the winter.
tl;dr - Buy some
products you are comfortable with your car coming into contact with, Adam's great white microfiber drying towels are great quality and the waffle weave holds a lot of water.
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