I'd say that Apps has a case because of that whole "best player in the world" thing, but was he that much better than Schmidt?, was being better than Schmidt a big thing, and suffers of a general case of Sidneycrosbytis circa 2014, meaning that every damn argument for him comes with "PPG" somewhere.
Yes, the case for Apps is somewhat based on PPG, but it was a consistently high PPG, ever season of his career. And yes, that is a Crosby-esque case.
I'm copying these comparisons from the centers project:
Top 20 points Apps: 2, 2, 2, 6, 7, 8, 12, 12, 16
Top 20 points Schmidt: 1, 4, 4, 10, 10, 18
Top 20 PPG Apps: 1, 2, 2, 3, 4, 4, 4, 5, 5, 8
Top 20 PPG Schmidt: 2, 3, 4, 8, 10, 12
Hart finishes by season
Apps (1939-1948): 2, 2, 3, 2, 3, war, war, (war), NA, 5
Schmidt (1940-1954): 4, NA, (war), war, war, war, NA, 2, 8(inj?), (inj?), 5, 1, 4, NA, 6
In the years leading up to the war, Apps was way ahead of Schmidt. Schmidt did more after the war.
Apps' Hart votes are in part the respect he had as a MAN. There are so many accolades to his character. He's been called the model of a man.
His goal scoring is underwhelming.
His passing is underwhelming.
His defensive play is underwhelming.
His playoff success is underwheming (compared to others uninducted yet, even his Leaf teammate Kennedy).
The darling of Toronto has no clothes.
(Or, at least are skimpy ones at this point, smelling of smoke more than burnt by fire.)
Apps was a fairly balanced scorer, so he ranked higher in "points" (3 times Art Ross runner-up) than in "goals" or "assists separately.
And I would really like to see a source for what appears to be the claim that off-ice factors affected Hart voting when Apps was in his prime.