This points allocation is totally “fixing a sport”. Some rules for leagues and tournaments, the rules outside the match don’t effect the outcome of the match at all. In 99% of the cases, it’s always best to win every match, and win it as quickly and decisively as possible.
In the Rugby Six Nations tournament, which is happening at the moment, they introduced a rule that if you lose, but lose within 7 points of the winner, you get some points. Also if you win or lose but have four or more tries (touchdowns). This is to keep the play aggressive by both teams, even if it looks like it might be a blowout, as it give more incentive to keep playing hard and not rest players for the next match.
In this case, of course you want to maximise your points and minimise your opponent’s points, because all teams are playing to advance in the same league table.
With those NHL rules, it seems there might be a situation where, due to being from different conferences, you’d prefer your opponent to score an extra point to put the ahead of another team in their conference, and you get the same points anyway. It might be rare, but similar things have happened in the past!
Turns out that if a situation is possible, when it comes up the teams involved WILL take advantage of it. See: Disgrace of Gijón - Wikipedia for details:
“The Disgrace of Gijón is the name given to a 1982 FIFA World Cup football match played between West Germany and Austria at the El Molinón stadium, Gijón, Spain, on 25 June 1982. The match was the last game of the first-round Group 2, with Algeria and Chile having played the day before. With the outcome of that match already decided, a win by one or two goals for West Germany would result in both them and Austria qualifying at the expense of Algeria, who had beaten West Germany in the first game. West Germany took the lead after 10 minutes, thereafter the remaining 80 minutes was characterized by few serious attempts by either side to score. Both sides were accused of match-fixing although FIFA ruled that neither team broke any rules.”