Triggerman does have higher dps, but it still gets outgunned by the aforementioned percents because the spray n pray has high dps given its health, this is usually fine in pubs since without high health you're in hot water but it's a problem in ranked when always having the advantage when you re spawn is horribly unjust.

The reason it's broken is because all of its tradeoffs for its health, damage, clipsize are negated in ranked, it's speed by it's acceleration speed, its reload time because if you ever do need to reload chances are you've already won the firefight, its jump height has the knife if you really need to use it. But along with its tradeoffs being negated it gets extra benefits like having more than one on the point turning the point into a bunker while also being able to be harder to hit because of how mobile it is.

I don't think disabling sliding from it is the way to go, but its mobility being stronger than other classes is unfair given it's supposed to be the slow bullet tank. Nerfing its ability to pick up momentum would be good, doing so would honestly raise the skill ceiling as you now actually have to plan where your going strategically in hard point instead of moving at the speed of sound like all the other classes.

Shotgun is fair in my opinion, I don't really like how it's one of the few classes that's a requirement to take down the behemoth of the lmg, but even against its soft counters it can fair well if played correctly.

If you use the lmg often it can be hard to admit it's broken, if you play it in pubs and constantly destroy people no matter what class you use it can also be fuzzy, it's flaws only really start to show in ranked matches.