I don't think you should reduce or remove the pause between boosting and shooting. There are tricks to reduce, such as bunny hopping, which require skill. If you hop into the air your weapons raise in the arc of the jump, and you can often shoot before you touch down to the ground. I think that little things such as these should be kept, because they are little quirks that make Hawken special. Also the G2A plays more of a support role and not a rambo role. If you boost into battle with it you are going to have a bad time fighting people with the same skill level as you.
I am aware of every single trick currently used in the game, and utilize them frequently. Bunny hopping into a fight against an equivalently skilled opponent is even worse than boosting. It preserves your momentum. If you have AC, enabled, you have a single opportunity to change that momentum, and are then stuck without any options. This is all happening after boosting and appearing on radar the entire time.
Preservation of momentum for a light mech is, well, a death sentence. The only viable method to negating the weapon raise delay at the moment is dodging out of a boost - however, in a firefight, this forces you into a pattern. I'm unsure where you're at in terms of play, but in order to effectively utilize a light mech in close quarters burst play, there are periods in time in which you must boost to rapidly change your direction after a dodge. In order to shoot again, you must either wait for your weapons to raise, or dodge again. This can easily force you into a recognizable pattern of engagement. Against another light mech, this usually does not matter. However, against something heavier, where the other player can afford to move less and therefore, shoot more, it's uh... A death sentence.
So you utilize corners and poke and adopt a timid playstyle against heavier mech's that takes more time to kill them and just pray that none of their team mates are around or be limited to literally only being effective within a certain survival radius of your team. At this point we've already stripped through the top three options that one has in effectively utilizing a bursty light mech, none of which are much of an issue for heavier or sustained mechs, both of which currently have the advantage in Hawken's meta.
Decreasing, or removing the weapon cool down time brings them just a little bit closer.
Now, of course, light mechs are actually pretty OP in lower matches where people are still trying to learn to hit the things, but at that point it's sort of a crap shoot and changing something like that isn't going to affect the meta that much, as in all likelihood, it'll help out B's and C's as much or more than A's simply on the basis of how much everyone at that level boosts.