but the equation with a pure jet would be a bit different
Quite probably - last I looked, the typical profile for time to height was something like
(a) 0.9-ish half loop and roll off the top
(b) transonic acceleration in a shallow dive
(c) from whatever the magic speed is for the Type, zoom to height.
Best climb ANGLE will give you the most clearance over a close-in obstacle
.. granted but largely immaterial for the typical small GA single.