Have any tournaments considered a draw to be a loss for both sides? In most tournaments, a win is 1 point and a draw is 0.5 points for both sides. I'm aware of &quot;armagadden matches&quot; where a draw is 0 points for white, and 1 point for black.
Have there been any tournaments where a draw is 0 points for both sides?
This would seem to be another possible solution to the problem of too many draws, by removing any incentive to draw from both sides. (It might have a negative consequence of leading both players to play out draws for the full 50 moves hoping for the tiny off-chance of a blunder.)
Never heard of. A few thoughts:

As we all know :-), chess is a draw.
win 3/draw 1/loss 0 tournaments do exist (same rule idea, less drastic).
In Swiss tournaments, I say this would be an invitation to even more &quot;Swiss gambit&quot; (although evidently you can't overtake in the last round, as all scores are integer)
It's also pointless for an 1:1 match, thus it probably could be tried only in a round robin.
Just for fun, I applied your proposal to a random GM round-robin: Candidate 2020. The ranking did not change much. (But that is obviously no argument, since they would have played differently.)
Evidently, you need even more fine scoring (and could use the standard one, naturally...)
The proposal would suit hazard play: Why not throw in a possibly incorrect sacrifice? You don't lose much if it doesn't work.
Coda: Might be worth an experiment.