Prefer the anxiety and shame of being a thief rather than having to experience and express gratitude? That must be the very definition of pride as a vice.
Stealing eggs (or anything else, for that matter) just seems wrong to me, though I have sympathy with those who are destitute.
Maybe a sign could go along the line "We understand if you can't afford to pay, but we can't afford to give our eggs away. We'd love a little help cleaning the hen houses....call by"