You're asking for FOOT POUNDS ENERGY, not velocity (fps) while comparing two very different propellants, with all other things being equal. However, velocity (fps) with all other things equal, is what will increase or decrease the foot pound energy (fpe) at any given range. So the higher the velocity, the more foot pounds energy when using the identical bullet and weight.

BH excels at higher volumes more than T7. BH209 is more energetic and it is also very linear with increased charges relating to barrel pressure and velocities. It is much more predictable.

Your over all question is rather one would work better for long range hunting over the other. If you shoot both at the same velocity, neither provides more FPE than the other with the identical bullet. Which ever propellant you were to shoot at a lower velocity, that bullet would have less fpe. When using heavier or maximum charges, BH will start providing more fps, thus more fpe at long range with the identical bullet.

It takes 200grs volume of triple seven, to give the same velocity that only 136 grs volume of BH209 provides from my Ultimate. So as the volume of each increases, BH starts to excel.

A heavier bullet shot at the same velocity or near the same velocity, will provide you with more fpe than a lighter bullet. An example comparing a 300gr bullet with a 200gr bullet at 250 yards.

300gr @ 2,000fps = 1,238 FPE

200gr @ 2,000fps = 825 FPE