The basic 576 *incorporates* pulsed measurements, as well as swept.
300 microseconds and 80 microseconds. Bottom row of buttons on the right hand side. It does that at a single operating point at a time, if you want a plot, you have to draw it by hand.Methinks you are not that familiar with the 576. I use one or other of the two in my lab on an almost daily basis.
The 176 is an addon unit that fits in place of the standard test fixture, that goes to 200 amps. It is pulsed mode only, using delay line charge storage, to avoid enormous, heavy power supplies, unlike the 175, that needed two people or a fork truck to carry it.