So the profitability would be the same across pools? I was under the impression that there were profitability differences across pools? Apologies if I'm not not grasping this very well.
It is not exactly true but the difference should be only a little in terms of profitability in one specific coin.
The reason I say this is, MPH also let you play with multi coins on the same algorithm so you "may" actually get better payout in MPH.
Still, everything also depends on luck, not just yours, also the pool finding blocks.