When I enter a conversation with someone, I know there's a possibility, and it's perfectly in their right, for them to be rude and violent and insane, but that doesn't mean when it happens that the reasonable reaction is to be ok with it.
That is to say, rude and irritating behavior is rude and irritating even if it's not specifically prohibited. This is self evident to any reasonable person.
If this is a case for arguing in favor of resigning, I would say the problem is that you are pre-supposing that not resigning is irritating/rude when that is the very thing we are still debating. I don't think playing on is ok simply because it's within the rules; I think it's ok because an opponent deserves full closure if he wants it, and also because it's part of the fight of chess, even if only a small one depending on the position.
For the record wafflemaster, I rather strongly agree with that post I am quoting of yours; notice how it isn't changing my position
"If there is any work whatsoever involved in "converting" a mate with K+Q vs. K or winning an ending up four pawns, I can't imagine how weak the players must be."
I'm a 1900 player OTB, and I believe there is some work in winning K+Q or up four pawns, just not a particularly large amount of it. I still have to be conscious of, when I check his king with my queen, that I'm not hanging it; sometimes moving the queen too far towards the king can create stalemate possibilities -- again, something I need to be conscious of. Moreover, with the four pawns, I still have to do systematic work to make sure I'm not trivially hanging pawns and continue to get rid of my opponent's counterplay. I wouldn't say it requires skill as much as it requires discipline. It may be a tedious task to some, but I embrace it. The reasons why four pawns is such a large advantage has inherent logic to it, and I don't mind demonstrating that logic to my opponent.
I guess I just think that there is no problem with having to play a tedious position. If it makes the struggle harder, even only in the sense that you have to be focused on a tedious but easy position, I think it's still a worthy edition to the full struggle of winning a game.
So, let's say I consider a won game of chess to be a "piece of work." I feel like I'm in the office when playing a game of chess, and yet I somehow love it! Some people love their work and find it rewarding
Elubas, the games I have shown the players did not resign because "they were afraid people would think you are bad at chess". If you think that per the games I have shown, then you are missing the point.
I do not know of any good player who resigns because they are afraid people will think they are bad at chess.
Also, nobody has a "natural right" [whatever that is] that an opponent will resign when he is first theoretically lost.
Also there is a vast different between correspondence chess and the kind of chess which might take an extra 10 minutes to play out.
It wasn't really addressed to your post. However, I would say that they are doing the same thing but to a different degree: although they don't think they will look bad at chess when playing those positions out, they want to look particularly good when they don't play them out. That would be a possible guess, anyway, and it seems to be your point indeed when you bring up the idea of a classy resignation.