When I was a kid, I would make a fried egg sandwich as a late night snack.
This involved frying bacon, cracking a couple of eggs into the pool of undrained grease, breaking the yolks with a fork, and then splashing the hot grease over the top to cook it rather that flipping the egg. I can still see it!
Then I would fish the eggs out, lay them on a slice of that cheap white bread, put another slice on top, press them together real hard so the grease got absorbed by them and you could see the eggs right through the sopping bread, as though it were an article of come-get-me Coronary® brand negligee.
You can't do that with whole wheat.