That's exactly how games like Elite Dangerous and Star Citizen did it ROC - a set of basic tutorial lessons, with accompanying videos integrated into the playing experience. HTC would be better served having ALL of the manuals and game instructions in a single, visible place on the home page. One big button for the game manual, which is updated constantly when new info/controls/etc comes out. Now, frequently the only place to find that info is in the forum under the News/etc forum, which is problematic as many new players don't know that and don't even GO on the forums, plus anyone banned from the forums but still in the game has NO options to find that information, which is ridiculous in and of itself. As it stands now, the "how to" etc manuals are in 3 different places, at least. The information is all on the website, just split in between the trainers page, the forum, and other pull down menus. Having it all in one constantly updated PDF is how virtually every other game does it, an update comes out, they update the main manual/how to as well.
Integrate the existing videos on the trainers page into that document or page, and again, have it in a very noticeable and easy to find place. If you sent a new player out to find commands and features now, it'd take them 15 minutes of hunting around, if not longer, just to find many of them.
Devil is right that it's more of an MA issue, but without new players coming to the MA, there will never be new players coming to FSO.