I can't comment about curing times, as I build so slow my club nickname is glacier!
I have noted in my own use of a dozen types of paint, some are considerably more sensitive to handling.
In my use (your milage may vary) Hataka def. needs a good primer (badger Stynylres or Halfords rattle-can), with Tamiya & MIG being the most durable to handling.
All paints need time to cure fully, so if, as above, the coats closest to the plastic aren't cured, they can delaminate, with Valejo Polyurethane primers being the worst (imho) for this.
Flory says allow 24 hours for Acrylic, & a week(!) for Enamels.
Have you considered Flory Models Clay based washes, these are totaly inert and don't react to anything.
Here he applies over a unspecified satin finish, but I'm having the least issues (I can't gloss for toffee) with Windsor & Newton Galleria Gloss & Satin acrylic varnish.
Flory Models Tutorial: http://promodeller.com/weathering-wash/
US Stockist: https://www.highaltitudehobbies.com/flory-models-products