Hi Paul, yes, as always, you have blurred some terms again.
You say "Hp is the full-time power of the engine." - NO, HP, i.e. POWER is an "instant" term, i.e. work or energy per unit time.
Again, you say "Torq is the temperary extra power." - NO, Torque is in the same class of work or energy, that's, torque is a term dependent on a road, a period, so on.
Most of misunderstandings in such technical communications especially among rural people come from the language they use. Let me describe things, relationships between hp, torque, work, and so on in a language (semi or mixed technical language) we both can understand each others.
POWER (HP, Watt, etc) = WORK (OR ENERGY) per TIME.
Linear Motion: POWER (HP, W,) = FORCE x SPEED (mph, kmph,..)
Angular motion: POWER (HP, W,) = TORQUE x SPEED (RPM, radian, etc.)
Our PTO does angular motion. So, P = T x RPM. (omitting some constants)
So, if our P (HP) "at" PTO is SAME, and also IF RPM "at" PTO too is SAME, then, T(orque) too is SAME following this relation P = T x RPM = constant.
In gas PTOs, RPM is higher? If it is higher, then, you are claiming that gearbox at same gear (say, at 1) has bigger gear ratio. But, this is another story. I assumed gearboxes of diesel and gasoline were same. We are asked at SAME pto HP. IF pto rpms are different, the original question should be replaced by "diesel and gasoline tractor gearboxes are different?" Then, my answer would have been different.