If you had a well of eggs sitting by themselves when you cooked the pudding - you would get scrambled eggs out of it.
No, it wasn't like that. I was just mixing the stuff up (eggs being one of these ingredients), following the recipe exactly as instructed, and boom, I saw little bits of scrambled egg in it. I had always assumed that to make scrambled eggs, you had to, well, scramble them! I wasn't doing that.