Give it a try<shrugs>
Tho if a chicken can get in there, a wild bird can too...might just take them longer to find it?
What kind of wild birds are destroying the nests or eating the eggs?
Hmmm..... Free range birds laying/brooding wherever?
Might work...bait it with some fake eggs?
Not sure your goal....to be able to find eggs laid in range area or to protect a broody hen?