COWPAT
As has been said, without diagrams it is difficult to make a convincing case.
However, if you are happy with assertions words are fine!
For maximum angle of climb, an aircraft should be flown at the speed which gives the maximum difference between thrust and drag. For piston aircraft, where thrust is reducing as speed is increased, the steepest climb will usually result from holding the unstuck speed or very close to it. For a jet aircraft, since thrust does not vary hugely with speed, the best speed is the minimum drag speed for the type. Leaving out slender deltas, min drag speeds for conventional aspect ratio aircraft could be expected to be around 200kts
On the other hand, the highest rate of climb happens when the excess power is at a maximum. For a typical piston engine aircraft this might be about 180 kt but for a jet it would be more like 400 kt.
Regards