I've only been climbing ~4 years so take this with a grain of salt but I had similar issues with A2's almost permanently feeling 'bruised' when prodded after climbing but never being a problem during climbing (unless something reeeally crushed them against the bone). A week or three's rest would sort them out but the problem would come back really quick. I never bothered taping, but pre/post climb finger/wrist stretches that were meant to loosen my forearms sorted the pulley pain out permanently after four or so sessions, though!
Sometimes its hard to tell the difference between DOMS type pain vs 'ok but dont push it' vs 'holy crap dont do that' so I tend to avoid crimps and open hand these days instead (which has its own problems).