This exact argument (that "you don't have rights if your're dead") is advanced by gun-grabbers all the time. If it's fallacious when they advance it (and I'm sure it will be generally recognized here that it is), it is equally fallacious when you advance it.
Not that this is surprising, as both sources are veritable wellsprings of spurious argument.
So dead people can exercise their rights?
The principle is correct, the application of the principle by the "gun-grabbers" is incorrect.