The achievement amount is unaffected by stats. It is debated whether or not depleting the HP of the monster before utilizing the taming merchandise increases chances of good results - no statistically considerable tests are actually posted (in all probability owing on the rarity of taming things). It's also debated https://pet-system-di-ragnarok-on07395.tribunablog.com/new-step-by-step-map-for-pet-system-di-ragnarok-online-51620690