Very solid post. Only missing one thing in my opinion. Luck. Look at the games so far decided by a fair amount of luck. Fortunate bounces, getting close calls on goalie interference, missed penalties, bad penalties, hitting the post and then scoring a goal the other way, dominating and giving up a goal on one scoring chance, and on and on.
While luck is part of every sport, it has the greatest impact statistically in lower scoring sports and thus the greatest impact in hockey. Sometimes the #1 seed is soft, other times the #1 seed is a MUCH better team that runs into a hot goalie and bad luck. It's as big a reason as grit and character in making hockey the toughest championship to win. So it doesn't always feel special, it sometimes just feels like a fluke.