No because Monks require ramp up time. Ninja's biggest strength aside from the two big buffs we give is that we only need to have slashing debuff up (war should be doing this for you) and have huton up (Armor Crush makes this trivial). Monks have to get GL3 every time there is a downtime of longer than 10 seconds. Dragoons as well need Blood of the Dragon up. Also Ninja's DPS isn't 100 behind if mudra lag didn't exist. Ninjas would probably be 50-70 behind instead.
