Boyd,
The Society of Automotive Engineers (SAE) Standards on engine testing and reporting provide for 2 different conditions to specify Horsepower--Gross and Net. Gross is with all "accessories" removed from the engine. These include air intake and exhaust systems AND the cooling system so the number reported is extremely artificial and basically meaningless. However it is reported for the "brag" or advertising value because it is a larger number than the actual horsepower delivered at the flywheel of a fully functional operating engine. That would be the Net horsepower. This still does not account for supplementary pumps such as hydraulics or tractor accessories such as air conditioning on larger tractors. Note that both Gross and Net horsepowers relate to the engine only--the testing is done with the engine on a dynamometer with no tractor being involved.
The much more meaningful number to compare various tractors is PTO horsepower. It is the closest thing you will find to an "apples to apples test." This is measured at the PTO shaft of a complete STATIONARY tractor. Note that whatever hydraulic pumps are on the tractor are operating during the PTO power test (you can't shut them off), but they are in "stand-by" and not steering the wheels or lifting any loads. Even so these pumps require some power just to run.
Now in almost all tractors except tractors with hydrostatic transmissions, PTO horsepower is approximately 85 % of NET (flywheel) horsepower. For hydrostatic tractors it is usually around 83 % of Net. The reason is that it takes power to drive the hydrostatic pump even if the tractor is not moving. For tractor operations involving a lot of direction changing or needing very precise control of ground speeds, the hydro provides an excellent solution, but at a slight horsepower loss. Most current full-sized tractors that operate at steady field speeds don't need a hydro so a gear drive provides a better approach there. However, the infinitely variable transmission is now being introduced by almost all full-sized tractor manufacturers. It is a combination of gear and hydro elements. There is a slight power loss, but this is more than compensated for by the ability to get any travel speed desired to precisely match field conditions.
Now, getting back to your specific examples, if you go to the specs for the 4110 you will find that there are 2 different numbers quoted. For the collar shift transmission version, the gross horsepower is 20 and pto is 17 (85% of gross in this case.) However, for the Hydro version, the gross horsepower is 21! There has been some tweaking done, but they don't say how the extra power was generated. The PTO is still 17 (81% of gross). Finally for the 2210, the gross horsepower is 23 and the PTO horsepower is 17.7 (77% of gross). The NET horsepower is not included in the specs in the Operators Manual on line.
Both a Gear and a Hydro 4110 are rated at 17 PTO hp which is 0.7 PTO hp less than your 2210. I doubt that anyone would be able to tell the difference in real world conditions.
JackIL