That awkward break wasn't as bad before, because heat didn't need to be synchronized with Wildfire. You didn't suddenly have to care more about heat where you wouldn't normally, because you always had to care about heat. You would have just delayed Wildfire while managing heat the same as before.

I'd also argue that changing the heat gain from 10 to 5 did nothing to fix why the job was excluded. It was excluded because it did less damage than bard (fixed with the overheat and hot shot buffs) while having less support than bard (largely fixed with the dismantle buff). It would have been completely possible to make the job wanted without making heat into this vestigial mechanic that might as well be Raging Strikes, making the job highly latency-dependent, turning Hot Shot into something you press once a minute, and turning Cooldown into something you ideally never use for its special effect and only use because it's marginally more powerful than your regular combo.