In my opinion, neither Phoenx nor BH alone can be truly awarded the scalp of RAM.
My thought is that RAM had less than 10 fighters at any given time, and a couple leaders (who also changed somewhat regularly.) When those fighters started to drop out for whatever reason, and the leadership kept changing (or became rudderless, whichever), RAM was a corpse.
Yes, Phoenx was in a long-term struggle that did get easier with the intervention of BH. Yes, BH benefited from the weakening of the constant pressure by Phoenx. And yes, it would have turned out the same way even if you removed the other tribe - Phoenx would have eventually eaten RAM without BH, and BH would have clobbered them if Phoenx wasn't around.
Therefore, here is my analysis: Phoenx gets credit for facing immense odds without crumbling and being relentless to end the cancer that was RAM for so long; and BH gets credit for grabbing the hammer to put the nail in the coffin far sooner than it otherwise would have been.
And with that, I have satisfied no one.
Sorry, SFC.