It is common (apparently) for people committing suicide by hanging to restrain their own arms with their clothing, so that they can't remove the noose.The coats, especially that they were pulled back restraining their arms. This detail cannot be overlooked. If you have a perp staging this to look like a suicide, why place Barry's glasses properly on his face, yet have their jackets restraining their arms? Why have the jackets at all? IMO the objective was to make it look like the couple were accosted as they walked in the door. They were immediately lento the pool area and strung up. Barry knew that his big money dealings and vast number of enemies would make this believable.
The killer probably would want their arms restrained also, so double purpose.