I think the confusion is that hes replacing the programmer next to the thermostat reciever with the hive, and removing the receiver completely, which OP, is absolutly the right way to do it, its just the original post is a bit vague and we have to try and pick out the pieces from the photographs.
Basically the wiring of the Hive is the same as the original programmer backplate, you have correctly got black in #1, and like on the existing you have nothing on #2 (thats normal), #3 is red as before. #4 is the only difference, thats heating on and you had teh black cable to the removed stat receiver, which then returned on the white, which was crimped to the white of the cable to the wiring centre in the back. So because the Hive is of course stat as well as programmer, you just put the white directly to 4