Looking at the comments on the videos, and listening to people at PAX, a whole lot of folks have gotten into D&D after watching the live shows or listening to the podcasts. Which is the entire point.
Dungeons & Dragons can be a bit intimidating for a new player--the core rules come in the form of a 320-page textbook, after all. AI is welcoming to new players because it demonstrates that at the end of the day, regardless of edition or strict adherence to rules: the D&D game is all about gathering around a table & having fun with your friends.
It doesn't try or claim to be a how-to lesson on a "correct" way to play the game. It's a performance, on a stage in front of thousands of people. The minutia that we all face in home games--spending 20 minutes thoroughly searching a room, or round-table debating the merits of a course of action, or purchasing gear in-town, or pontificating about character motivation, or whatnot--would be deadly boring on-stage. Critical Roles and Titansgrave can get into that level of detail because while they're also intended to be entertaining, they're not played before a live studio audience. They can afford to throttle down the action and head off into the weeds. They're not constrained by a strict theater schedule and don't need to be concise. Put another way: AI is a live concert, while CR and TG are a broadcast of an entire album recording session.