Maybe. Maybe not. There's one thing I've learnt with broodies - every time is different. There may be similarities, but I can't say "always" with a broody.
My experience so far was that my EE did push aside her broken, nonfertile, or damaged eggs she was trying to hatch. But my Silky continued to sit on a broken egg until it stunk up the joint and I had to remove it.
Bunny (Splash Copper Maran pullet) is sitting right now and she's managed to have a pecked egg (green/not hers) and two broken eggs (the WL and 1 of hers) under her that I have since removed. My guess is that someone else is forcing her out of the nest during the day and perhaps she's breaking them with getting in/out - she is rather rotund. The shells were stuck to her underside and a lot of yolk everywhere on her breast - but no stink - so I don't think they were rotten. Perhaps the shells were weak or damaged and her weight helped to crush them open.
Her other three eggs are managing just fine for now. I'm okay with just three chicks or less.