A first-order parallel crossover using the same components as a series crossover should yield the same impedance curve.
Edit It will, but only under certain circumstances. Thanks for correcting me Andy. As I said, I'm not a crossover guru.Other setups will indeed create impedance peaks/valleys in the overall system.
However, I don't think I would conclude that it "negatively affects the amps ability to the drive the speaker."

A good amplifier will act as a voltage source and provide whatever current is required to the load.
It can, however, cause the response to skew when driven by an amplifier with less than ideal output characteristics. Highish output impedance, etc. You can model that easily with your LspCAD setup Andy.
An active configuration is a totally different setup. The raw driver impedance is what's seen by the amplifier and that's it. Generally you'll see a peak created by the driver resonance lower in its operating range and a rising impedance as you go up in frequency caused by driver inductance.
There are no complex impedance interactions created by crossover networks and multiple drivers connected together in parallel or series configuration.
I don't believe Zobel networks are necessary for active drive configuration systems. (Especially speakers like yours.) Assuming you are using a decent amplifier and there aren't RFI problems that would be solved by terminating the speaker lines at the far end.
You probably should move this thread to The LAB or another more appropriate circle.
I'm not a crossover guru.

But neither is the moderator of this circle.

Dave.