When played properly,
Press Your Luck is rarely about greed. Greed is what the show looks like on the surface, and there have been plenty of contestants who have treated it that way, but those who play the game solely as an exercise in "how much is enough" often don't win.
The difference with Press Your Luck, versus almost every other show outside of DoND, is that you watch players go on winning streaks for an extended period of time, then suddenly get burned because of their greed. How often do players contemplate whether to play or pass, then make up their mind to go one more? If anything, you've kinda made the point that Deal and Press are basically 1 and 2 when it comes to greed.
Here's an example from a 1984 episode:
Player A has played eight spins in a row to build his total up to $14,729 with 2 spins remaining (no one else has any spins). Player B, in second place, has $14,410. Player A chooses to spin rather than pass to Player B. Is Player A being greedy?
After landing on $2,000, Player A now has $16,729 and the final spin of the game. Should Player A spin or pass? Does greed factor into the decision at all?