Not specific to the SFO 777…
I don’t think a lack of hand-flying skills is entirely the problem. Rather, it’s a lack of SA on where a pilot should be on the automation to hand-flying spectrum.
As a T-1 instructor, I was often the first IP to teach students how to use the autopilot system. At first, the system isn’t intuitive and almost without fail, they would end up fixating on getting the damn flight director to do what they wanted it to when hand-flying and looking outside would’ve been more appropriate. Later, when they could use it right, a simple misplaced button push or unexpected value spun in would again cause automation fixation. Often, they wouldn’t even realize they were so fixated. Hell, I can remember a few times I fixated on it in the C-17 and T-1. I doubt any pilot with an automation system has never unknowingly fixated on it.
Sometimes automation is appropriate, sometimes hand-flying is appropriate. Knowing how to use each is relatively simple to learn; it’s knowing WHEN to use each that’s the hard part.
That said, obviously a baseline knowledge of how to fly through the entire spectrum of automation/hand-flying is fundamental here, and sounds like it was a contributing factor to the specific 777 situation.