While I agree that you and me and the kids in our neighborhood could all agree to this rule and abide by it, you know head coaches in the NHL will find a way to abuse it or gain an advantage off it within weeks.
We can all agree or disagree on whether it warrants a bench penalty or maybe a faceoff in your defensive zone. I'm for defensive zone faceoffs with no swapping of players being the norm for icing, too many men, and puck of the glass in the defensive zone. I'm also a fan of bringing back the hurry up faceoff. I don't remember ever hearing that they stopped doing it, rather they just stopped doing it.
Out of curiosity, has the NHL ever toyed with the idea of an uncontested faceoff? Maybe as the result of icing, puck over the glass, anything?
Perhaps, but I think less so in this particular case, because it would be pretty black and white, and the way they'd take advantage is to have a guy jump on early. In which case, the changing player probably wouldn't be standing in front of his bench waiting to hop over. He'd be slowly moving toward the bench. And if he plays the puck while standing there, then that's a penalty.
They already do this sometimes as well. They just don't do it all the time, and different refs, seem to have different amounts of leeway. Making it between the blue and red line, five feet or so in front of the bench makes it clear for everyone. Don't even need to add new markings on the ice.
I've seen once or twice when they first started the hurry up faceoffs, they dropped the puck uncontested. They don't do that anymore. They don't penalize anyone anymore either. Personally I'm ok that they don't. Even if the other team buys an extra few seconds after an icing. I think it's a smart veteran move.
Also, while we're on the topic, my biggest pet peeve rule that I wish they would change, is to make it so that a player who has just touched the puck, or was just carrying it, can never put himself offside if he fumbles it or something.
It's just a dumb as shit technicality that kills so many scoring chances, just because a guy lost the puck for a second. It's not at all within the spirit of the rule either. Linesmen would be able to handle this very easily too. All they have to do is see if he touched it before crossing, and then call it good, like they waive off icings, or playing the puck with a high stick.