Other classes with charge systems are not as hindering as the S1/S4 tier set make the charge system feel.
Fire Mage Fire Blast, when you run out you swap back to Phoenix Flames. 2-3 seconds later, you’re back to Fire Blasting. They functionally do the same thing, but one is on the GCD and is not a promised crit.
Destruction Warlock and Conflagrate, this develops a resource do to stronger abilities - it also has two talents that reward you for spacing out you Conflagrates so you always have one available to sustain your buff duration, which is the real butter to the bread for this specialization. Butchery is to Wildfire Bomb as Conflag is to Incinerate.
Retribution Paladin (almost always takes Crusading Strikes) Crusader Strike/Templar Strike combo, the specialization is so busy that you always have a charge available, even if you don’t intend to.
Even on Beast Mastery if you’re trying to spam Kill Command it’s readily available, and if it’s not up on the next GCD, you just Cobra Shot to get it to be available.
Butchery has nothing like this. It is the tool to get Wildfire Bomb off cooldown quicker, but there is nothing available for Butchery is be readily available do this on sustained AoE (going back to S4/S1 tier set). The whole reason why it worked in S2/S3 is because there were other buttons to click - similar reasoning as to what is happening with Retribution Paladin. But also, Butchery being a tool to get Wildfire Bomb off cooldown, Fury of the Eagle was commonly played (with Ruthless Marauder) during S2/S3. Meaning, Fury of the Eagle was an extension of Butchery, was more rewarding, and even had synergy with our tier sets to capitalize on it.