Woodwork is like anything else. There are people who have some sort of innate talent (eye-hand coordination, ability to visualise/understand objects in 3D, artistic flair for design, patience, physical strength, etc) and then they build upon that talent. And there are people who just get better at it by working hard.
When I was a little kid, I used to go down to a wooden boat shipyard run by old Norwegians. There were two Norwegian Elk Hounds with whom I formed a mutual affection society. We would sit together in the wood shavings pile, out of everyone's way, and watch the comings and goings of the yard. One of the things that I noticed is that there wasn't a lot of measuring going on, and there were no squares because they are useless for boats. It's not that there were no tape measures; they just weren't used much. The old Norwegians would visually size up what they were working on, go to the wood pile, sort through looking for a piece of wood about the right size and with the right grain, and then they would free-hand cut and shape it to size and shape with saws and planes, and it would fit perfectly. Skill. I think there was something genetic going on with the skill, because the kids of the family who ran the shipyard could draw boats really well and get perspectives right. Drawing boats accurately in perspective is not easy. Many otherwise skilled artists are hopeless at it. My dad said that the owners of the yard could free hand draw a lot of the complex curves in their blueprints.
Although I was academic stream in school, I took shop classes, woodwork, metalwork, and electricity. The skills learned here have proven extremely valuable over the course of my adult life. I wish I had taken mechanics, too, but there wasn't room in the schedule for it.
Woodwork was probably an easier skill to acquire in the past. Wood was inexpensive. You could botch a job using a fair amount of teak, walnut, rosewood, mahogany, padauk, or whatever, and then just shrug your shoulders and say, "Oh well. Start again." And in relative terms, tools were also less costly, too. And you do need a lot of tools, good tools. Clamps. No matter how many clamps you have, it never seems to be enough.