In one sense, HST uses HP.
I don't think the question is a very valid one. Too many apples to oranges comparison. Take the same tractor model, same tires and same application, and if available in both hydro and gear, you could probably make some valid comparisons. It would have to be unbiased, as often people just defend what they have.
You almost certainly have more control over your traction with an HST, but it has other disadvantages not related to traction.
The only hydros I can put a direct correlation to would be the IH 656 gear and hydro,
the same manufacture, the same frame, the same size rubber, both gas engines,
they were doing the same work on the same farm day in and day out for well over 20 years.
Then the hydro puked and the replacement hydro never worked right.
the geared tractors would out pull the hydros any and every day of the week.
On light duty jobs or light road hauls (empty wagons) the hydros were faster.
For pto work the hydros were a touch better in that you could find the perfect gear for the pto horsepower.
For light duty the hydros were as nice or nicer.
When you made them work on drawbar loads the fuel economy of the hydros was terrible compared to the gear tractors.
I would say that those tractors were your apples to apples comparison.
I put a lot of hours on both of those tractors working them daily.
Also I believe that both of those models have Nebraska test data available if anyone cares to read up on them.