Here's my opinion! By playing 14 day/move games, you are willing choosing to play a game that can last over a year no problem. Personally I would never play them, but that's just me!
As for chess etiquette... I'd say if the player's moves show they don't know how to win with a single rook vs king... Then keep playing!
If you were at the expert level where everyone can mate with just a rook no problem, then I would find it rude to drag it on forever.
I'm in a 14 day per move game. Am I in the right to stand firm and force his hand to earn a rather pyrrhic victory? Background:
My opponent has a king and rook, while I am left just with a king. I'm refusing to resign, which will require that he close me out by checkmate. One reason for my defiance is that it's a tournament game, and if I can eek out a draw, my team wins the tourney. After every move, I ask for a draw. He's made nonsensical moves (over the last 3 months) rather than take the bloody draw.
My hunch is that he either doesn't know how to finish me, or he's just screwing around as a means to protest my lack of capitulation in this matter.
Side note: An obscure (rarely invoked) rule holds that 50 moves without a pawn move will result in a draw. Thus far, we've each made 15 such moves. However, another EVEN LESS!! known rule is that a move is actually two "turns". One by white, then one by black, and so on...
THEREFORE I will have to make 35 more moves (errr "turns") at the rate of one every 2 weeks in order to invoke the 50 move ceiling draw. At this rate, your children will be graduating from college by the time this bloody game ends over a year from now.