This means you can't pass the game around to your friends or sell it afterwards, which completely ruins the purpose of physical media imo. I mostly play PC these days so this doesn't affect me, but it's a disappointing direction for console games. At least they could've used an empty disc that has proof of ownership.
Do "physical" copies cost more? How much extra money is it for the "collectors box?"
They do if they're collector's boxes. Usually the same for regular editions.