Typically it's the woofer that sets the system efficiency. Taking a low-efficiency system and high-passing it at 80 Hz won't change the efficiency. Depending on what the impedance curve looks like, once highpassed the speaker may or may not present a significantly easier load.
I would guess that you would gain two or three dB of headroom by not asking your amplifier to reproduce the bottom two octaves.
Once you've made the decision to go with a subwoofer, if your intention is to significantly increase your system's headroom, then it would make sense to go with main speakers that trade off (unused) bass extension for higher efficiency. All else being equal, trading off one octave of bass extension will buy you about 9 dB greater efficiency, and that would make things a lot easier on your amp.
I would guess that you would gain two or three dB of headroom by not asking your amplifier to reproduce the bottom two octaves.
Once you've made the decision to go with a subwoofer, if your intention is to significantly increase your system's headroom, then it would make sense to go with main speakers that trade off (unused) bass extension for higher efficiency. All else being equal, trading off one octave of bass extension will buy you about 9 dB greater efficiency, and that would make things a lot easier on your amp.