My mom has a dozen backyard chickens and I agree with all of these. I'll tack on two bits from my own experience:
Good: Fresh unwashed eggs don't need to be refrigerated. They are perfectly safe at room temperature on the shelf for days.
Bad: You can't leave them with other pets without supervision. One of the dogs got himself a taste for chicken and already ate at least three. You can't train this out of the dog, unfortunately. I had to put down one poor chicken that was deeply injured but still alive. We constantly stay vigilant to keep the dogs and chickens separate.
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Lots of countries don't wash their commercially grown eggs (and have a much lower % from factory farms), which greatly improves shelf life in shops etc.
Yes. It was quite a culture shock to see eggs stacked up in the middle of the aisle in Mexican grocery stores. I also find that, in general, Mexican store-bought eggs taste better and have a much darker-yellow yolk.
Iirc, it’s only the US and Japan that acid wash their eggs, thus stripping the natural protective layer, and require refrigeration.