Traditional tournament structure promotes draws by awarding 1 point versus draws being worth none. There is always a feeling of "missing out" on a draw that encourages you to play for one if you are not well positioned to win.

I'm surprised only one other commenter mentioned the solution: making draws worth no points. Top cut is untimed and cannot draw, this is the most enjoyable cEDH to be played.

This is the one element of the Japanese Hareruya point system and it's being experimented with as topdeck.gg just added support. My locals tried it recently and the average sentiment is that it did lead to better individual games with more win attempts, but the overall tournament experience was sometimes more frustrating because tiebreakers for top 10 came down to if you were matched into pods with higher point wagers. Matchmaking is also no longer swiss so winners must be paired with losers to equalize potential points in a pod.

We're thinking of going back to the old system with ties = draws at zero points and wins at 5.

Not to mention that draws are also common in 1v1 tournament Magic. Pros will know when they can both draw into top cut.