Nope; I wouldn't.
For starters the idea of eating another animals unfertilized embryo kind of freaks me out now. I don't want to eat periods!
Also when chickens lay they use up MANY nutrients (especially calcium for the shell) which tires out their bodies. Most people I know who have chickens hard boil and feed the eggs back to them. I know it sounds gross but it's one of the easiest and best ways to restore the lost nutrients from the laying process.
Another reason I wouldn't is because when a hen lays if their egg(s) aren't taken from them they won't just keep laying. They'll roost and partake in natural behaviours until the egg rots. I don't want to be the cause of any stress for them. MOST chickens do this BTW but certain ex-factory farm hens struggle with this for certain reasons.
This isn't true,
I have 11 hens & I eat their eggs as well as giving them away for free to people that buy caged.
My hens are very healthy, the roam on a quarter acre of lush grass, fruit trees, bushes etc, eating worms, bugs, socialising, they have constant access to a good quality grain aswell as being treated to fresh fruit & veg, grains etc daily.
We give them their egg shells as they are packed with calicum but they are not lacking vitamins in anyway by not being fed their eggs.
Hens will not go clucky merely if their eggs are left in the pen, most modern breeds for example Isa Browns are not clucky whatsoever, they will just lay their egg & off they go never tending to it again. We have a bantam, Hennie Pennie & in the warmer weather she does get clucky but it is important for her health that we snap her out of it or she sits in the pen all day (in the heat), will not eat, will not drink & also this behaviour encourages her to get mites! (bird lice) so we pick her off the eggs pop her outside & lock her out of the pen and she does not seem stressed at all, soon as you put her outside the pen off she trots for a feed and to cool herself down dust-bathing.
Eggs are basically just chicken periods, I have a good relationship with all my hens & I would never do anything to harm them or that jeopardise their welfare or rights, they are very content, healthy & happy & I do eat their eggs & there is no problem IMO, they are not being exploited