Yes - I happened to be watching that exact clip on YouTube recently, as I was trying to match various themes from the soundtrack CD to scenes in the film. One or two comments mentioned Fett turning his head just after Luke pulls out his gun, and I couldn’t believe I had never noticed that before.
The music playing during the procession (sounds a bit like a funeral dirge) is one of my favourite motifs in the whole trilogy. A slightly slower version of the theme recurs a few minutes later on the CD and was originally due to appear during the early stages of the Luke/Vader duel. I spent ages trying to find it in the film before reading online that this second rendition was pulled last minute, since the duel was more suspenseful with no music.