Eh, it's obvious that the attacker has to play even to remove his own pawn. In the dragon white is sometimes happy to sac his own h pawn just to open lines.
But look, this should be your last stand and not something you're actively trying to get. Your king is paralized. In the position you posted white is in real trouble if you get to an endgame.
Also, if the enemy gangs up against the a pawn you're screwed: those advanced black pawn prevent white from defending with his rooks/queen from the side. The black pawns cut off white's army.
I am just wondering if there is a term for using your opponents pawns to protect your king during a pawn storm and how do you feel about this stragety, I find it is very helpful with very new players...