I wonder if that was one of the more poignant moments of that movie, right near the end of it. You can not help but think about when at the start (in the wedding party), Tessio is playfully dancing with a girl. Sorry, but could not help but think of those two moments in that movie involving Vigoda.
The more poignant moment was GF II, with the flashback showing that Fredo was the only one who supported Michael when he told everyone he was joining the Marines.
BTW folks if you get HBO on Demand they were showing the broadcast edited version of Godfather epic the 7 hour version that sold to NBC network back in the 1970s including Deleted scenes