John's plan looks quite convincing; White's king is so badly placed....which leads to the question: was g4, fixing the pawns in this manner, a bad idea?
John, one little question about your line:
Maybe, against the odds, there is salvation in the h-pawn grab line,
after 71...Rf4
instead of 72 Re8, I want to try
72 Kg3, with two possibilities:
(A) 72 ...b2
73 Kxf4 b1(Q)
74 Rh5 drawing, I think? (I'm really bad with these Q vs R and P(s) endings...)
(B)72...Rb4
73 Rc8+ Rc4
74 Rb8 b2
75 Rxb2 Kxb2
76 h4 draw(?)
Obviously, this has to be analysed out, but my pfaffing around convinced me that it should be a draw...Black's problem is that bringing the K back via d4 allows White to cross the fourth rank.
Sample line:
76...Kc3
77 h5 Kd4
78 Kf4 Kd5+
79 Kf5 Kd6
80 h6 Ke7
81 h7 Rc8
82 Kg6 and it all works by one tempo.
{edited: inserted diagram 1, expanded line B}