I've been teaching new players the wrong way for years

What about the people who actually like reading rulebooks? I've seen a few folks get annoyed when you skip the full explanation because they feel set up to fail. Morganmartinez is right that most people learn by doing, but forcing that on everyone can backfire. Maybe the real trick is asking the table how they want to learn before you start. Some groups want the full picture, others just want to dive in.