Dave,
I like the idea because four board cards would be the "proper cards" but I don't know if I've ever seen that in the form of a written rule.
For some reason this situation reminds me of a recent (last few years) poker movie. Can't even remember the name of the movie...but I do remember the ridiculous floor decision that was made near the end of the movie. It went something like this: The hero wins the pot and is walking away from the table (with all his chips)! He has finally beat his nemesis...so he thought. Next thing you know, he's being called back to the table because the dealer failed to burn before turning the river card! You guessed it...the hero returns, the river is used as the proper burn, and the new card gives the pot to the other player!!! Are you kidding me? That's not the only thing that pissed me off. The dealer was about ninety years old and they made it seem like his dementia was a common occurrence!
It baffles me at times, how these producers can make a movie without any knowledge of the game and allow ridiculous mistakes to take place.
There are other great movies that failed to research proper procedures when it comes to poker. "The Sting" with Paul Neuman and Robert Redford...There's a scene when a player bets $1,000 and gets raised $500
There are others but I don't have any time right now. A good topic for another day.