Does this make any sense?

As I've already stated using 2 sets of Speaker Cables is superior IME. Allows you to tailor sound to high's/mids & lows.

The output will NOT be increased by the op using two separate sets of amplifier posts. The amplifier power output will be identical either way the op connects the wires.
The use of eight total speaker amp posts instead of just four of itself will NOT make the sound better.
The use of 4 separate cables MAY/or may not make the sound better/cleaner. The consensus from upgrade audio cable users would be  'hopefully/probably' it will sound better. (no guarantee)

Well - the results are in! Wiring Speaker 1 outputs directly to my SFO3s Hi inputs and wiring Speakers2 outputs directly to my SFO3s Low input is decidedly clearer and the bass substantially quicker and deeper from a McIntosh MA6500 into these 4 ohm speakers. Source material the Red Violin soundtrack, track 20 with deep kettle drums which are now more precise, a definite bang with no after roll, and the McIntosh Reference Disc tract 1 Stravinsky Firebird Suite. More deep precise base than before. All cables Maze Audio 12 gauge before and after switch. But direct cabling versus previous biwiring (2 bananas at amplifier and 4 bananas at the speakers). Daydreaming? Horse feathers? I don’t think so. 

Yep. Just as I told you.