grenv: Yes, this is my way.. I resign in a lost position. I never said others had to do the same.

Nor did I say that you said that. But you have said that you do not accept their point of view. You've said that their definition of the end of the game is wrong, that their wanting to finish by removing the last piece is pointless, ridiculous, etc, and that you'd resign regardless of their wishes.

you are saying that others might be offended at my actions and request that I play out the game. Wouldn't this be a case of them asking me to do it their way, not the other way around?

If you know that they'd like to continue play and you resign in spite of that then it could be considered rude and, yes, they may well be offended.

If you say to them that it really pains you to have to play on then you are asking them to take your feelings into consideration. If they take you at your word and assume that it truly does "pain you", and they would only "quite like" to continue, then it would be inconsiderate to expect you to play (not that they can force it, of course). In that case the reasonable way forward is to accept your resignation.

It's very likely to be the case that they will let you have your way even if they believe that their preference is the stronger - because they also value being the "nice guy" about things. Probably most people are like that but I get the impression that you wouldn't be one of those.

Difficulties arise when both players feel adamant about getting their way and that's when you could call in the judge. In reality, however, the likely outcome is that the one with the power, ie. the resign button, simply exercises it, and rudeness be damned. Indeed, rudeness may well have already surfaced during the "negotiation".

It's about mutual respect. It's not about simply dismissing the other person because you think their position is ridiculous.