Online lessons vs in person

Not done them, but I can't imagine it would do any harm in giving it a try if it is affordable. I presume they'll ask for a video of your swing from different angles. I suppose the advantage to that is that they can review it in a bit of detail in their own time, without feeling under pressure to give you instant advice. Might potentially give them more time to evaluate your key flaws, some might be subtle. The downside might be that they can't take you through the various drills face to face, and get instant feedback on how you are coping with these and their results. But, as you are doing a program, they'll still get some delayed feedback, and having recorded videos as you go through the program could be a very good way of documenting your progress, so that you can really see the progression you are making.

Keep us posted in how it goes, as it seems a really interesting way to go about it.