Quoting: OldNYIfan
Base analytics aren't facts -- that's the fallacy at the heart of your argument. Base analytics are highly debated and highly debatable calculations attempting to provide an arithmetic expression of the respective values of players. They are nothing more than a theory; they're the very opposite of facts.
In real life, no theory is ever proven; they just become more accepted until another theory (or improved formulation) becomes even more widely accepted. Suppose we accept your understanding of what the "analytics" show and Buffalo and Carolina exchange Aho and Eichel. Now suppose Aho scores more points with Buffalo than Eichel did. Even that doesn't prove your argument, because maybe Eichel also scores more points than he scored with Buffalo, or maybe Carolina wins the Stanley Cup with Eichel (which it didn't do with Aho).
You go on believing that Aho is better than Eichel, because your analytics tell you so. I'll go on believing that Eichel is better than Aho, because my eyes tell me so.
One final thought on old sayings: if you don't know the joke whose punch line is "Who are you going to believe, me or your lying eyes?", you should look it up.
That's strictly false. Things like xGA and xGF are statistics, but the threat levels are facts. It's a simple percentage. Transition numbers are facts. Facts become statistics the more you manipulate them. This isn't debated, and those who do have no idea how analytics work. They set in stone what is happening on the ice, the definition of a fact.
The idea of calling it a theory is ludocrist. You clearly do not understand why analytics exist, how they are used or the purpose they are built to serve. I'm not saying any of this to be derogatory, a lot of people confuse the reason analytics are used with what fans use them for. However, they are microfacts that are used to quantify what your eyes see. You use the points and goals arguments, except they are more statistical and flexible than base analytics are. You see the puck go in, but what if the puck took a slight tip, indescriminantly came off someone, etc. On top of that, there's the variables of save percentages of better goaltenders spread across the division.
You go on believing your subjective variables, while I trust cold hard facts to determine who is better. In the end, I will always trust numbers over my eyes because, to go full circle, NUMBERS DON'T LIE
To use your enjoyment of old sayings “Many things are not as they seem: The worst things in life never are.” This literally says you see what you want to see. Facts are irrefutable, what your eyes see is subjective. It's why players can have such polarising effects on fan bases (Jake Gardner for example).