@BonTheCat
And why should the claim be adjudicated on the basis whether the position was won or drawn when the claim period commences? As we both agree, blunders are part of the game, so why should we favour one side over the other towards the end of the game?
You're not favouring either side, you'r just rejecting a no progress claim if the claimant has, during the claim period, managed to transform a position that was a theoretical loss for him into a theoretical win or draw or a theoretical draw into a theoretical win or otherwise if he has changed the distance to mate in his favour should the theoretical result be the same at the beginning and end of the period.
If he hasn't the claim succeeds in the same way a draw under the 50 move rule would.
The players may not know who is winning or losing and then would be no wiser should the claim fail.


White has not made progress, he's gone from a win to a draw.
White has not made progress, he's gone from a draw to a win for Black.
White has not made progress, he started with a draw and he's still got a draw.
White has made progress, he's further away from being mated by Black.
@BonTheCat
As we both know, the 'endgame' position you show, clearly has a lot of pawn moves and captures before it can even be a case of the 50-move rule.
Not necessarily (but it usually would).
and my point was simply this, for how long do you have to defend before you would be allowed to claim the draw?
Would you say that all games should be terminated at 50 moves if you've managed to defend up till then?
In other words, your example with the starting position is completely irrelevant as it's likely to be a made up game between the two players.
Yes, I'm saying that the 50 move rule should stand. OK, if there's a general agreement to change it to 75 or 100, I'm fine with that, too (although most tournament organizers would probably gnash their teeth).
The point is that I don't think there's any merit in having a different number of moves depending on the position, because where do you draw the line? (I've already shown an entirely plausible position which is won in 549 moves with 503 moves without captures or pawn moves.) Nor do I think there's any merit in rewarding one player extra moves on the basis of him 'making progress' (or not awarding him more moves if the arbiter thinks otherwise). As Nunquam points out, how do you define progress? Also, as yourself has pointed out, we're making mistakes all the time when playing, so why should it matter more, or less, at the end of the game, and why should it matter more or less depending on whether you're winning or losing? There's no logic at all to this. We could easily see a situation where one player was outplaying the other, and then blundered, ending up with K v KBN. Should s/he be treated more leniently as a result of that? After all, s/he was winning for the first 70 moves of the game. In my case, it was the other way around. My opponent played better than me most of the game, and I grabbed the last chance I saw of saving the game, asking him to perform the B+N mate. Should I be punished for the fact that my opponent didn't know how to do it?
I don't know about you, but a great deal of the fascination of chess lies in the fact that you can throw away many hours of hard, painstaking work where you've slowly accumulated one advantage after another. It's a game of brilliancies and blunders, and I can't see anything wrong with tenacious defence being rewarded just as ferocious sacrificial attacks and strategical masterpieces are.