fungame:

If we were playing a game of checkers where jumps were not forced, and we were down to the typical minimal endgame where you had 2 kings and I had 1 king, you could not win the game.

I am not making a claim based on supposition, it is a fact.

If I don't have to jump you, when you try to swap off my last man, I just move to some other square.

If there is no way to conclude a game, then what fun is there in playing it? Would you want to play a game for a few months, only to have it drag on ad infinitum?

It would be like playing a game of baseball without walks or strikes. There is no consequence for 'doing nothing'.