This is a thing. Especially, in American culture, people like to see a winner. Ties are more of European thing, because that has been normal in soccer, our biggest sports in here.
That 3-2-1-0 system sill keeps the excitement. 3 point win is a reward of clear 60min win, like bigger win than 2-point win. That's important for coaches, that they know their 5-on-5 hockey is working. Because regular season is preparing for playoff hockey, and there, only 5-on-5 hockey matters. Historical records can be adjusted, internet is full of guys who do these, like The Athletic writers. There was already that comparison for Tampa -19 record season vs. Red Wings -96 season vs. Montreal's -77 season.
But for fan excitement, overtimes are fine. It's obvious. There you can fight for that extra point, if every game would distribute 3 points.
Biggest flaw is to have 2-point games and 3-point games happening under same League. It's moronic. Every year this will cost a playoff spot for some team, who was able to win more on regular time, but some lesser team collected more points from overtime with inflated points.
There is also the standings thing, and how everybody would look close thing, but it's still moronic.