The battle is joined
This is false. Fur Coat enables you to easily eat a sucker punch (252+ Atk Kingambit Sucker Punch vs. 252 HP / 0 Def Fur Coat Veluza: 168-200 (43.7 - 52%) -- guaranteed 3HKO after Leftovers recovery), meaning you're actually free to play Fillet Away/Recover mindgames with the opponent instead of being forced to switch out completely. Of course, +2 Liquidation/Hydro is still relatively weak (+2 0 Atk Veluza Liquidation vs. 112 HP / 0 Def Kingambit: 160-189 (43.3 - 51.2%) -- 5.5% chance to 2HKO; +2 0 SpA Veluza Hydro Pump vs. 112 HP / 0 SpD Kingambit: 220-261 (59.6 - 70.7%) -- guaranteed 2HKO), but you at least have some room to outplay. You lose this avenue completely with Regenerator in the given matchup. Anyone is free to use Regenerator if they wish of course, but it's almost definitely less likely to work well.Fur coat is a great option, but you shouldn't discount regenerator. The issue with fur coat, why it isn't always the optimal choice, is that veluza still dies to sucker punch.