No, it doesn't really make a difference soundwise. Just a different design. Over the years, they figured out how to have a bolt on neck with a more contoured neck heel using individual set in washers and so they did it. It's just a bit less clunky than your typical Fender wood block and plate design. As far as stability, the old Fender design is probably a bit tougher.
Although, just like anything else with guitar, I'm sure someone will say that it has a huge effect on the tone due to the extra half ounce of wood contacting the neck with the plate design, or somesuch nonsense.