I don't remember exactly where I saw that, but I know that NASA did some testing on aircraft tires, and the NHTSA did research on highway vehicles. I was working as an expert witness on a personal injury highway accident case some years ago, and I found the formula I quoted. I think that NASA came up with a different formula for aircraft (I believe that it was 10 times the sq rt of the tire pressure, which maybe was different because of lift and ground effect...Under real world testing, the hydroplaning performance of different tires run at the same pressure and load on the same vehicle will hydroplane at different speeds. I'm curious where you found that equation - can you share it?
You may be correct that "real world" might have turned up some differences, but I do not know. There are variables, such as depth of water and ambient temperature, etc. I have observed some vehicles hydroplaning on the highway, and it seemed that it was well below "cruise speed." I looked it up again, and it turns out that there are several formulas - I just found one on the Purdue Univ website that says 10.35 times the square root of tire pressure. So for a tire at 36 psi, that would be over 62.1 mph, which I have seen as demonstrably wrong. The bottom line is that hydroplaning is dependent upon tire pressure, so driving on the highway with underinflated tires is a risky proposition. Lowering tire pressure off-road is very different, since off-road speeds are far lower. Just make sure one reinflates before going back on the highway.