See, your post is a perfect example of how you can cherry pick information, using some truth, for an agenda even without using stats.
Now I'm going to use an example of how cherry picking doesn't make anything true because some will fail to scrutinization.
But the key is that no universal truth is needed for defining players. That’s the beauty of individuality. You can believe that stats prove really something about players.
There is a universal truth actually. This is objectively false because hockey has an quantitatively defined objective: score more goals than your opponent.
The universal truth is the best players help you reach this objective more effectively than others.
That's an irrefutable fact for as long as hockey stays being a sport where more goals wins. As long as the eye test holds value so will stats, because both of them will hold value for as long as some players can exhibit an impact on the game.
The only way statistics other than goals, assists, and wins cannot have value is if hockey is actually 100% random.
But in the end the only stats that mean anything are goals, wins and losses. All other stats are just arbitrary and take away the focus from the most important things in hockey.
Yes and no to the first sentence. No to the second sentence.
Wins and losses only matter as that's the objective: to garner the most wins.
Goals only matter because the definition of a win is the team with the most goals.
Other stats are not arbitrary as they, like the eye test, gather you information indicating which teams and players will garner you outscoring.
Some reading material that objectively shows you the non-arbitrary value of these statistics:
Objective NHL: Loose Ends - Part I: Predicting Future Success
Remembering Dellow: A few graphs to convince you on Corsi
Expected Goals are a better predictor of future scoring than Corsi, Goals
In general people will anyway define the best players in their opinion with a set of different things.
Two issues with this. People do not differently define what the best player represents, but what players represent the best player.
All people would agree that the best player gives you the best chance at winning. Figuring that out is filled with subjectivity, but that doesn't mean that some are more right than others.
For some it is more about statistics, and for some it is more about the eye test. And for some it is a mixture of both. The variation with all this is individually different, and also the valuing of players is often a lot affected also by preferences with playstyles and as simple things as team based and nationality based bias even.
Statistics and eye tests is not about defining what player is the best, but about trying to garner information to make an informed, estimated guess on which player is the best.
The destination, the path taken, and the efficiency of the path are not the same topics.
There is just absolutely no need or even possibility to find the absolute universal truth for which player is the best in any aspect in hockey. Or whom will play this well or that bad in the future on the basis of what he did in his past.
There absolutely is, and every single team and every single person in hockey will argue against this... otherwise their role has no real reason to exist.
And anyway, in the end the beauty is still going to be in the eye of the beholder. And that’s just how it will be, no matter if you like it or not.
Beauty is eye in the beholder in the subjective definition of which player you prefer. This is something about style over substance. Which player garners you the best chance at winning though is objective, and because certain players do indeed perform better than others there are patterns that can be detected.