If it moves left and right at all, it's the special shifter. Obviously things can change in 40 years, but originally these had a slot in the plastic slider plate which is visible.
Clarification is obviously needed and here it comes:
1. Any of these old cars, you can push from 1 to 2 to D to N without pushing any button or any special moving it to unlock any cams. You just push. The shifter will not stop.
2. The point of this shifter is that WHEN it's pushed to the right, coming from 1 it will stop at 2. The feature is not moving it, it's stopping it.
3. To continue, WHEN it's pushed the right, coming from 2 it'll stop at 3.
Going down, it does nothing interesting. You have to push the button to go from D to 2, 2 to 1. N to D is free for some reason.
You can get an idea of how these detents correspond to button height by looking at the detents. This is a good picture but the reason we're seeing it is that it's aftermarket and has 4 gears. Just imagine you're seeing this with 3 gears and it'll have a step missing on the right.
The really deep hole is Park and the button is really tall in Park. The wide hole is N and D which don't have anything happening between them. The button is lowest in low gear, and it's also really low between reverse and Park, and that's a pretty wide space there.