They don't, but they can dispell a diseased ovary. But since from here it's a set of photos, I sent him a link so he can compare it to what he saw.
I would suggest it's an organ, and since the bird seems to still be moving, not alot of organs it could loose and not pass withing minutes/instantly.
Edit: not a vet, and have no idea what the long term prognosis is if it is an ovary, just alotta dissecting thru the years.