FWIW, this is the original Deluxe heater in my '63. It's hard to see in this pic, but the in and out hoses are coming out of the top and out of the front, not both out of the top like yours. The hookup for the cable controls is in a little panel on top just behind the top hose.
My heater core went out, and everyplace tried to sell me a core like yours. No one acted like they knew anything about mine, so I had to have it rebuilt at a radiator shop. I bring this up because they obviously don't make one like mine anymore, and if (not that I know for sure what yours should have), but if your's has been replaced or upgraded, they would have probably used the style they currently sell, not the old style like mine.
Just a theory. I don't know for sure.