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It might be interesting to analyse that rook ending indeed. I have studied the pawn endgame a lot and there is a thread on it in the Dragon forum with deep analysis. Since then I have been even deeper and I can say that it is unfortunately worse than difficult, it's lost for Black (some hopes from the other thread have been busted now but it's still unpublished yet, I may publish about that). Even with that knowledge, I used it to make an easy draw as Black against a MF OTB who even prepared a bit in this endgame before playing against me while I was not prepared to play this endgame that day. I used it because the way to win can not be improvised, it's very very deep. To add something about the rook endgame, I have not analysed it very much yet but it looked quite unpleasant in practice. to add some thought for analysis, I can say that 22.Kb2 is very dangerous too and might transpose into the same rook ending, for example 22.Kb2!? Re3!? and now 23.Rc1, or 23.Rd2 or 23.b4 are natural moves. After 22.Rc1 Re3!?, there is 23.Kb2 as a transposition, where Black should probably play 23..f5. White can play maybe 23.Rc2, or 23.b4 or Rc7 like Tal too. Another idea, and a very dangerous novelty played in many blitzs by a strong internet guy against me (he couldn't beat me in the pawn endings): 22.e5!?N where I have tryed 22..dxe5 dxe5 23.Rd7 a6, 22..Rc6, and 22..Rc7 but it's very difficult for Black. So, there is very much to discover in these rook endings and even if it's holdable, Black has to be very precise, often White can even sacrifice every kingside pawns to rush on the queenside and it's not obvious how Black should react. Finally, I should add that the exchange sacrifice 17..Rxc3!? is not thaaat bad, and in fact one of the mainline is a double rook ending ressembling to this one, which is about +=.
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