This is a good example of his style: https://www.youtube.com/watch?v=9-KJvR_JWs8
But wait, you never heard of Lindsey?
Oh, HIM. You should have just said: “Stevie Nick’s old boyfriend”. *smile* I’ve always been in love with her voice so mentioning Lindsey usually did not click because I would automatically switch to her image in years past.
Then again, I have not thought about Fleetwood Mac, Stevie Nicks, or Lindsey Buckingham for some time now.
The link you pointed out was not the best example of him playing, I think. Pretty repetitious number with no stylistic nuances or flourishes.
So far, as a composer / songwriter I think he is one of the best. As a player, better than average but not someone I would pay to go see on stage.
I think the VH1 “Behind The Music” episode paints him in a much better light. Have a look then:
https://www.youtube.com/watch?v=tsdcNglSr2A