Here's a crackpot conspiracy theory I just came up with:
If the rumours are true that Franklin's surname is "Clinton", then his name could be interpreted as meaning 100 dollar bill. Stay with me...
as in Benjamin
as in Bill
Franklin Clinton = Benjamin Bill,
as in 100 dollar note.
Plus he's constantly represented by the colour of money: "green" (not only his driving ability screen tint, but his association with Grove Street & his use of marijuana).
Guess R* weren't lying when they said this game's about money.