Yes the type of powder influences peak pressure but so do other values.

With that said, I have never seen a straight wall pistol cartridge where peak pressure was not reached before the bullet left the brass regardless of powder used.

The quantity of powder in most instance moves the peak pressure point very little in retaliative terms, though as would be expect more powder results in raised the pressure every thing else being equal.

Remember peak pressure and mean pressure are two very different things.

A chronograph tells you very little about peak pressure but does provide some indication of the mean pressure.

Powder burning outside the barrel does not has no bearing on the peak pressure or were it occurs.

good luck and be safe
Ruggy