This type of thing happening in different games, and people's reactions to it have always intrigued me. I started playing competitive Chess in high school, and resignation is the most common form of ending a game. In fact, when a player is losing really badly, it's almost a sign of disrespect to keep on playing because you're effectively telling your opponent that you're not sure they can win a game that you both know they should most certainly win. Kids playing Chess are often taught by coaches to play until the bitter end, particularly in lower levels because opponents are more likely to make big mistakes that can swing a game. But whether you get checkmated, or resign, there's no inkling of egotism in choosing either action as the losing player.
Then I got into competitive Magic: the Gathering. For the most part, veteran tournament players will concede matches and it's understood that this is an acceptable and respectable thing to do. However, there's still a minority of players(who tend to be more casual) that are really against conceding games if you're losing. They feel like it's their right to finish the game the way they choose while you hopelessly play on, defenseless to whatever they want to do in the game. This definitely feels like a form of egotism and sometimes it could technically take multiple turns for your opponent to actually finish you off, like if you get bad draw and just can't play anything, and you know that whatever you draw you can't stop them. I found it crazy that you're expected to satisfy their ego by being their punching bag when you've already conceded that you can't possibly win the game.
With all that being said, what's being described here is that in a few seconds, you're going to reach the same screen in a few seconds whether the game is exited or whether the player loses his last stock, and the only difference being the writing and the announcement on the screen being different. If I was the winner of a match where the loser did something like this, I think I would be bemused more than anything(I've never heard of this before). It would speak volumes to that player's self-esteem, and I would feel sorry for them more than anything else. However, it may not look the best to spectators so that's a downside. As far as being hopelessly behind, I would rather take the opportunity to try to learn something and have a little fun the rest of the way over ending the match immediately.