For those who know Rick Beato's channel on youtube, he has a long interview with Dominic Miller (Sting's band) and in it Dominic talks about his influences and the other guitarists he admires and has learned from. He calls out LB at the 45:21 mark. He says the guitar playing on Rumours is "the greatest master class on how to play on a song. Every single song, the guitar playing is absolutely sublime"
https://www.youtube.com/watch?v=ERXUMh1S2ws