Post up some closer up pictures of the whole A/C vent system and it's controls... Also the heater controls in the top of the dash above it...
That will tell if it was a factory heater only car that was converted after vs factory A/C...
That duct system looks like it's pointing up a little funny, but that's how they would have to get it to fit with the floor shifter... Most of them are installed with the vents horizontally...