I have the 3-in-one Hal Leonard book, and Freidland clearly describes right-hand technique on page 10.
Because he advises using the thumb to mute the E and A strings when playing the G and following through to rest on the D, it seems to me that muting is the main intended effect of following through.
I wouldn't be surprised if there are other reasons he advises this (maybe consistency is easier to achieve when plucking this way? maybe its good to get used to touching a string without sounding it?), because recommends following through against the thumb when playing the E string.
Because he advises using the thumb to mute the E and A strings when playing the G and following through to rest on the D, it seems to me that muting is the main intended effect of following through.
I wouldn't be surprised if there are other reasons he advises this (maybe consistency is easier to achieve when plucking this way? maybe its good to get used to touching a string without sounding it?), because recommends following through against the thumb when playing the E string.