King Edward was on the banned list for a while, due to it being suceptable to blight. Probably will be again after last season.
Once a potato has been bred & tested, all the potatoes of that variety are cloned from that plant, so yes.
If you plant seeds from a potato you will get tubers of all shapes, colours & sizes, depending on what other varieties its been polinated with.
Don't go trying to eat ones you've grown from seed though, might be toxic. Even a tested one made it onto the market a few years ago, luckily it was eaten by a scientist shortly after it came up for sale, he recognised the symptoms of solanine poisoning & it was withdrawn from sale.