Well it was hard to catch from the video but i could tell your issue is to drop underplane so if don't try and flip too much you would leave it out to the right but i know you tend to be a drawer of the ball so i thought you'd tend to hook it.
If you want a good model to copy, you could look at Mike Finney's videos. He's tall and thin with similar build to you.
Well if you look at the old video you can see that my tendency is not at all to be under plane on the forward swing. In fact I'm under plane on the takeaway, then lift up vertically, then I get a little too far forward with a slight over the top move.
That over the top move combined with the propped up hands at impact made for an interesting short fade. I would fix that by closing the clubface early and if all things were equal I'd hit a decent straight shot. The other thing I did from there is have a high amount of Right wrist bend. I would force that bend through the shot, which I used to think was proper. But what happened for me from that angle is that I would occasionally hit that double cross pull hook.
Now I'm working on making my backswing more on plane and more vertical to start. Instead of letting my forearms roll to take the club away which made me so flat to start. I had a huge reroute.
Now I really don't know what my tendencies are with this new swing. I'm still exploring. It's possible I might start hooking but because I'm still trying to make the same move through impact that I had with my old swing I'm not sure. I generally still see my misses right, but not nearly as often.
Thank you for your input again. I think I'm going to tilt a bit more at setup and try to get a tad bit wider on the backswing like Tiger was. Hopefully that should help me stay on plane on the forward swing.