Why bother with egg whites?

Maybe someone can clear this up with me. I tried an egg-white omelette again this morning and, of course, it was disgusting.

My question: why bother with egg whites?

A large size (33g) egg has 3.597g of protein in the white. Ten of these is about 36g of protein. No matter what you put in it, it tastes awful and is a chore to make and eat. Seventy eggs a week isn’t cheap, either.

Yet, for this expense, I can have a high-quality protein shake with 40+g of protein. It goes down better and is basically as dense. I can still eat other breakfast foods and I personally don’t see any difference.

Is the egg white protein actually ‘better’ than a good protein shake, or does it just come down to personal preference?