Can you confirm if the nagging you’re getting is from TVAI v7.1.4 or Topaz Video v1? The nagging to upgrade to Studio is hard-coded into TVAI v7.1.4, and agreed it is really annoying (which is by design). You could go back to 7.1.3 or lower to get rid of that.
I haven’t got any “nagging” in Topaz Video v1, just a usual “update available” (to v1.0.1).