I owned the OG of this shoe and never once heard anyone refer to them as "tarts". I can't say no one in the world, but I've never heard that nickname thrown around back in the day. When they originally released people just referred to them as the Agassi's.
Where I grew up, they were referred to as Agassi's. And I also played competitively. This nickname thing didn't come into fruitation until the mid 90's. I blame it on the Space Jams.