From a procedure design perspective, the above mentioned numbers are part of a balanced equation for the approach procedure.
The balanced equation, includes the approach at 3 degrees, a 50 foot TCH, and a missed approach surface of 200 ft/nm.
This is the basis for the minima, coupled with obstacles in the approach or missed approach surfaces.
The minima is based on aircraft CAT, which is detailed by the final approach speed. As an example CAT C is 140 kts. While you may agree or disagree on the final approach speed, this is the criteria.
The equation is based in the TCH, the runway slope, and the available landing zone. If you have a 48 foot TCH, that likely means the runway is sloping down, so you dont land long, same...if you have a 54 foot TCH likely means the runway is sloping up, so you dont land short, as it relates to the TCH....
Approach speed is not an option....