Vultures like things that are safely dead. To find those things, they will often watch things that are currently alive. Although they are opportunistic like most predators, I doubt they are after the eggs.
That said... I had **
magpies** steal eggs. Unknown to the magpies, the hens were too young to lay yet, so they were actually stealing the wooden dummy eggs.
Hilarious - I would find the wooden dummy eggs out in the woods where the frustrated magpie had eventually given up on it. This clued me in to the fact the magpies were going in the coop during the day, so I built a baffle on the door. The magpies apparently didn't want to go in there without a direct line of sight both going in and getting out, so they stayed out after that.