The argument"MCH/Bard have utility so their damage should be lower"

[Panasync]

I believe Monks do not. Also, Shukuchi has around 45 second CD iirc so it isn't Spammable. Only Dragoon has enough gap closer for it to make little difference, but it's enough difference still to lose out on DPS. Not sure what the range on Shoulder Tackle is, but it's probably not amazing.

You're right shoulder tackle isn't a gap closer... There is no fight in this game where you are running back and forth off of the boss w/o being able to hit anything for extended periods of time. The closest I can think of is chrysalis. Dragoons have a couple gap closers.