In my experience with AJT, if it is "grabby" then you might have allowed some of the AJT to dry on the surface before removing it all.
Your description of an ultra plush towel "rolling up on itself" makes me think that maybe you are making more work for yourself than is necessary by allowing some of the AJT to set up before you attempt to remove it.
As Jeff Werkstatt himself said in response to an email an Autopian sent him:
"And for AJ Trigger, the process is even simpler: spray a small amount on the
surface, spready it uniformly with a microfiber towel, and continue buffing
until the surface is clear. Flipping to a dry side of the towel on the
final pass will help leave perfect results. There is no waiting time
necessary. It is one continuous application/buffing process. Trigger can
also be layered, with 30 minutes recommended between layers."
When I apply the AJT on a panel I spray it on and spread it around using the short nap side of an ultra plush MF towel. By the time I've finished spreading the product around by lightly moving the towel around over the panel - the AJT has already almost vanished. Then I immediately do one last buff with the plush, dry side of the towel and the finish looks spectacular.
If you follow Jeff's suggested continuous application/buffing method, then (in my experience) the AJT is not "grabby" at all but silky smooth and as easy as using a QD.