Dia. Solution 21-30: Black is 1 point better if he exchanges Black S11 for White R12 before Black 21.
Dia. Why White cannot capture: White CAN play this sequence about 60 moves later (White 8 captures Black 1 in Sente). It remains true that she cannot capture the big Black group in the top right, but she gets an advantage of 4 points in this area (the captured Black stone plus 3 points of territory that Black will not get any more). So a 3-point-win for Black reverts into a 1-point-win for White.
And the most difficult problem ever remains unsolved !
Dia. Solution 21-30: Black is 1 point better if he exchanges Black S11 for White R12 before Black 21.
Harry Fearnley: I guess that you mean "... exchanges Black S10 for White R11 ..."? The S10-R11 exchange is also sente for White, at almost any time. If Black ever has to sacrifice the large group at top right, Black will surely be 2 points (not just 1 point) better off -- one point for the stone, and one for the point it is on -- if Black has played the exchange first?
The analysis here on Sensei's library, is somewhat outdated. This, and many other points, are covered in the exhaustive analysis on the page maintained, for the Deutsche Go Bund, by Thomas Redecker.