All good.
Though your idea is good, its how can it be done and what about all the other turrets and weapons?
The skills were blanket cover skills, one bonus to all of the same type and size. And CCP decided on damage bonus to the turrets, and ROF for launchers.
To do what you suggest it might be easier to change individual turret specs, T1 and T2 stay the same, but all between have changes, like how Factional turrets have better fitting requirements and range/tracking.
As it is T2 ammo effects the turrets more than factional and T1 ammo, but reducing tracking, increase cap, etc, etc.
So personally I’d leave the turret skills as is, change skill spec to T2 ammo damage bonus, and make specific turrets have your suggested bonuses, but not lvl improved, after all that’s why CCP added tracking enhances,computers and damage enhancement modules.
But that’s just my 2cents worth on the idea.