@norrisnick moved the goalposts (admittedly not in a very meaningful way) and referenced soccer. He left me no choice but to employ this meme!
While this rule has the upside of eliminating some ambiguity and subjectivity (I'll give it that), it still chips at the spirit of the game. And this disallowed goal is evidence of that. The guy is making a good hockey play in an effort to ultimately shoot the puck, and then.... chaos happens. As it happens multiple times a game, and often results in a goal, regardless of where the puck originally came from. Again, can't kick it directly into the net, I fully agree with that. But trying to take chaos out of a game that is half-fueled by chaos is problematic.
I think the "has to be propelled off a stick" and "this isn't soccer" sentiment is a bit disingenuous. The former is, frankly, kind of meaningless when you consider the big picture of hockey and the chaos I mentioned previously. And the latter because if we have a problem with pucks off of feet then we should have a rule that says you can't kick the puck to your stick at all, no? I mean, this isn't soccer. I don't mean to sound snarky with that point, but I don't really like the soccer reference because no one is trying to make hockey like soccer, the similarities being drawn here are completely coincidental in nature.
Good discussion at least