I would say, yeah it is the same.
BUT there will always be people who will say it is less meaningful based on who wins.
If Sens won, Leafs/Habs fans wouldn't say it "counted", and vice versa. It is just the way it is.
If, hypothetically, the Sens won the Cup this year in a 48 game season, then by that metric:
- The Leafs Stanley Cups in 1932 (48 game season), 1942 (48 game season) and 1945 (50 game season) also don't count. It also puts their 1947-48-49 three-peat Cup championships in serious doubt (60 game seasons each), depending on where you draw the line.
End result: the Leafs 13 cups are reduced to either 10, or 7, depending on how many cups you take away for "not enough games played in a season".
- The Canadiens Stanley Cups in 1924 (24 game season), 1925 (30 game season), 1930-31 (44 games each), 1944 & 46 (50 game seasons each) also don't count.
End Result: 24 Cups become 18 Cups based on eliminating the 6 for "not enough games played in a season".