I agree that zone coverage was poor and that his teammates did little to nothing to provide an outlet. In the defensive zone, when you don't have the puck, your job is to create an outlet. This particular ailment has haunted the Sabres all year. Even so, yes, it was a dumb play. At even strength you only make a defensive zone clear up the middle if you are 100% sure it's safe. Usually (though not always) this is when it's only you and your partner back in the zone, say when the other team is changing. And even with that, often coaches strictly forbid an up-the-middle clear in the 3rd period, regardless of the situation. In that situation, Weber has to clear it up the boards, in either direction, or eat it. Period. Even if you have a potential outlet up the middle. You just don't make that play. That's how I was taught at least.
Regardless, while it was a miserably bad play, goal or no goal, Weber has been excellent the last few games, even in that game. I would quickly forgive him and move on.