Yep, and this is why FOLKS never improve. For every monster that never took a lesson, nobody ever told him nuttin, he just hit a million balls, there are THOUSANDS who can't run 3 balls, who can't bank, kick, jump, draw, or do a consistent stop shot, or even know about the tangent line.
But yeah, keep shooting for decades until they finally figure out the tangent line all by themselves. Sorry, folks want to get better today, not in 10 years. They are not trying to be pro's, just want to play better.
Nothing wrong with lessons from a good instructor.
Sadly, there aren't that many.
A lot of them sell game in a bottle.