Roaring Pawn. I read Laker's manual. In it , he contradicts what you said. In fact, he lays out a program for budding masters to follow. And even claims he could make a master out of anyone.
John, you're right, Dr. Lasker claims (#113) that he could make a master out of anyone with the RIGHT program and method. #112 above from Lasker's Manual clearly states there is an elephant in the room -- broken basic education is failing us across domains. We see people hate math, in chess 99% of all entrants never get beyond the moves, etc.
The teaching methods are the key. Not all of us should become a master. 40- or 6-year old, we just want to enjoy the best game ever invented. And knowledge and etter understanding enhance enjoyment.
The chess education is like the education system in the US, there is a broken basic education and, on the other hand, the best schools in the world, Harvard, Stanford, MIT, etc.
The beginning, or as I like to call it Square One on Day One is critical and most important period if you think about it. You either get excited for something and go far, or you simply quit as your initial enthusiasm wanes.
I've been doing Square One and writing on my blog about it for ten years. Ninety years after Nimzovich spoke about it, no one in the chess community seem not to see it yet.
Houston, there is a BIG elephant!

Our basic education is still in the Medieval ages: here Fall Festival in Houston
Roaring Pawn. I read Laker's manual. In it , he contradicts what you said. In fact, he lays out a program for budding masters to follow. And even claims he could make a master out of anyone.