I'm fairly new to the game, been loving it

I have a question though.
To me it seems like the Bushwacker E is much better than the Prime.
In a close range fight, the AC20 is, from my limited experience and understanding of the stats in the wiki, much more powerful than the UAC10 on the Prime. The PPC and LBL are similar as far as damage is concerned, with a slight edge to the LBL due to its precision and ease of use in close quarters compared to the PPC. The two LRM5s are totally worthless in short range, but the SRM4 is quite a nice addition due to its decent damage, cockpit shake, and ease of use (I find SRM to be far superior to SSRM unless your target is moving straight toward/away).
At long range, the Prime obviously has an advantage, but how damaging are the two LRM5s, really? How valuable is the marginally increased long range performance compared to - as far as I have experienced - the greatly increased short range performance of the E?
There is a strong possibility that I'm just doing it wrong, but could anybody touch on this subject for me?