The only reason I'm not suspecting the calipers is because it is both sides. I admit that this is a very common symptom of a caliper just starting to get stuck. It's not quite as common for it to be both sides.
I've just had experience with it. Both mine died at the same time (although it sat for 2-3 years.) With the tranny fluid in the vacuum system, there still might be some bowing and scraping involved.
