If one argues that egg whites shouldn't be eaten because they are toxic shells/peels like seed shells, turning around and claiming that seed shells are not a problem when sprouting is done contradicts the original point.
I'm not a chicken farmer, so maybe I'm wrong here, and perhaps "eating" is not the term I should have used--probably more like "absorbing"--but whatever you call it, most of the white ends up in the chick (otherwise the chick would be pretty puny, right?). The yolk is the most important chick food, yes, but...
"Egg white is the common name for the clear liquid (also called the albumen or the glair/glaire) contained within an egg. It is the cytoplasm of the egg, which until fertilization is a single cell (including the yolk). It consists mainly of about 15% proteins dissolved in water. Its primary natural purpose is to protect the egg yolk
and provide additional nutrition for the growth of the embryo, as it is rich in proteins and also of high nutritional value. Unlike the egg yolk, it contains a negligible amount of fat."
So eating a fertilized egg is pretty darn close to eating a chick (except without the feathers and beak!

). Gross for vegetarians, I suppose, but healthy for us, apparently.
Ever see a chick hatching? There's mostly the shell left when they finally hatch. As a matter of fact, I wouldn't be surprised if they decide to break out when they get hungry because there's little yolk or albumen left. I don't remember a lot of albumen spilling out on hatching--more like a thin, moist glistening of it on the chick. We need a chicken farmer here to help with these discussions.

Remember, the avidin is neutralized by fertilization, according to Tyler and the report he cited. Has anyone found anything to the contrary? We keep getting lots of anti-egg-white arguments with seemingly little hard evidence to support them.