While I acknowledge that Daily Double hunting is the mathematically optimal strategy for winning the game, as a viewer, I also hate it when the clues are taken out of order. However, I'm more likely to put up with it if the following two things occur:
1. A contestant who finds a Daily Double because they were hunting for it proceeds to make a huge, gutsy wager (if we're still using the term "Forrest Bounce," then I will continue to call this "doing a Roger Craig"). If you're going to diminish my entertainment by throwing clues at me in an nonintuitive order, then I want you to replace that entertainment with a big gamble.
2. Once all of the Daily Doubles in a round are gone, the contestants go back to playing the categories top to bottom. Unless there's less than a minute left in the round, there's no more reason not to play the board that way*, and if you're such an amazing Jeopardy! player that you'll benefit from Daily Double hunting, you should be answering quickly enough that there won't be any chance of time running out before all the clues are exposed.
I can understand why the show doesn't want to create rules forcing the contestants to play the game a certain way, and I'm sure the contestants don't care whether I'm rooting against them, but it is one of those things that might make me less likely to tune in on a given day.
*Okay, I suppose there might be some game theory in trying to unbalance weaker players by keeping them from settling into a mindset of a specific category or by not eliminating the potential responses used in the lower-value clues. The counterargument is that that no longer has any effect now that everybody has rigorously prepared for the show and is ready for category shifts. I miss the days when Jeopardy! could be played by good-natured contestants who were simply familiar with the game as opposed to everybody training for the show like it's the Olympics.