That would change the mechanics of the game. Why do you want to change hockey into a different game than it currently is?

It might improve the game, or it might not. It might provide new strategies for clearing the puck, for example, and maybe that will be good, or maybe it will be horrible. You're welcome to find a league that is willing to try it if you want, but generally, people (and the leagues) would prefer NOT to change the game unless you can supply a convincing reason it should change. The game is fine the way it was before the netting, except for occasionally smashing people in the face with pucks. The netting prevents people from getting smashed in the face with pucks, and stopping play maintains the game exactly as it was before the netting was implemented.

From my point of view, that's a win-win.

If you change the game because of the netting, then it turns into a win-maybe, which could either be a win-win or a win-lose. Since a win-lose would suck, and a win-win would probably be pretty similar to the current situation, I don't see how your proposal improves anything it just adds the option for it to potentially suck. Stopping play and keeping the game the same as it always was is probably the right call.

For the same reason they don't keep playing after someone scores in basketball. Or football. Or soccer.