Agree no difference as an ingredient in some baked dish.
But if you are eating the egg by itself or as the primary item, there is definitely a difference in taste. Not a revolutionary change your life difference, but still a difference.
In my experience the difference is pretty small amongst the options in the grocery store, but fairly noticable for eggs I get from the farmers market.
Just like every basement is a hamas bunker and every sewer is a hamas tunnel.