As a beginner in Go, I think I would find it a tad ungracious of a stronger player to essentially show me the equivalent of “CAN’T you tell you lost this game, don’t take up any more of my time…”. If someone wants to end the game, I respect and accept it (maybe write it in the chat, I would definitely pick up the non-verbal cues IRL but online can be tricky), but the manner it is done would be important to me.
However, a game is a game and people make mistakes, so unless it’s a player many, many levels above me I can always hope to reduce the gap from humiliating defeat to honorary defeat if a live to fight a little bit more.
I find value and beauty in the game itself, and an opportunity to study wherever I can take it (in Go and in life in general). So, I would continue playing a game as far as it makes sense to do so, to explore and learn from it. (Though, since stronger players than me have answered my challenges, I usually have the opposite problem, thinking “am I being ridiculous for not resigning, does the other person feel burdened by the simplicity of my game?”. I don’t have a definite answer to that, I guess people will not play with me again in the future if they find that the challenge is not enough for them to enjoy the game, which is fair).