I took me a minute to catch your humor about “what tool”

Wand marks can happen with any tool, but some cause more issues than others. My guess is that this was taken before grooming was done, or the cleaner skipped grooming it.
Cottons aren’t too difficult to correct, as opposed to viscose or other regenerated cellulose fiber fabrics
At a guess, the tool didn’t have a vacuum bypass, and was perhaps metal, not one with a plastic built in
glide (like the Upholstery Pro) or one with an add on glide.
How did I do?
Oh, dry vacuuming alone could do that, but if not wet, those would brush out easily