Not really. Cage free vs. caged or organic corn vs. non-organic corn is a feel good thing.

It all depends on what they eat. Both articles actually say this, but bury it for some reason.

Hens in a barnyard eating high quality feed supplemented by insects, etc have a different flavor and texture than hens just fed feed. "Eggland's best" taste different because they are supplemented with flax.

Similar phenomena exists with beef and pork. Grass fed beef tastes different due to more Omega-3 in grass. Danish pork tastes a little different because the pigs eat fish.

They don't "taste" better on their own, but the fact remains that fresh yolk is firmer. Firmer yolks yield better results in some recipes, thus creating a better product, and tasting better. Also, texture wise, fresh eggs are better. Taste involves all the senses.

Interesting, but doesn't match my experience. Even if your own eggs don't taste better, they are also about a month fresher.

Even if you don't believe they taste any different, they're interesting animals and it's a fun hobby.