Feeding chipped up hard boiled egg will not make them start to eat their own freshly laid eggs. Even breaking a fresh egg on the ground won't make them do that
I feed eggs when I get a surplus, I don't wash eggs for sale, so the 'dirty' ones are saved for me to eat and washed before using, sometimes those pile up so I wash, boil, and chop up shells and all for the birds. You can't imagine now but down the road you might get tired of eating eggs.
Eggs are good nutrition, but a bird can still only lay one egg a day no matter what it eats.