Because a single wire carries woofer and tweeter current; bi-wiring means the woofer wire carries only woofer current, tweeter wire tweeter current, though voltage is the same for both. A plot of voltage would show the same voltage applied to woofer and tweeter (less changes due to wire loss, insignificant in practice).
Single wire:
Amp -> single cable -> woofer + tweeter = single cable carries all current
Bi-wire:
Amp -> woofer cable -> woofer = woofer cable carries only woofer current; crossover reduces tweeter current to woofer
Amp -> tweeter cable -> tweeter = tweeter cable carries only tweeter current; crossover reduces woofer current to tweeter
The crossover makes the woofer look like a higher impedance to the tweeter cable so tweeter current is reduced in the woofer wire, and likewise the tweeter crossover makes a higher impedance to the woofer cable for tweeter current, so there is less interaction in the wire. The net energy the amp delivers, and that the woofer and tweeter each receive, is the same whether you use a single wire or bi-wire. The wire itself contributes negligibly to distortion and so the bi-wire argument is a red herring (is a false argument). The amplifier and speakers dominate (by orders of magnitude) the distortion.
HTH - Don
With all due respect Don, and to your "technical expert" status, I am going to disagree with you. In today's prehistoric audio measuring tools and unexplored audio science, the dark abyss of audio depth is the domain of true explorers, the people open with their ears and the knowledge...how to use the tools best.
I am not an expert, but I am an audio aficionado and an intellect. I have been for all my life, since I was listening to my Mom's heartbeat...inside her belly.
I have read extensively and I have been a sound wave explorer in more ways than not.
This thread was started with couple graphs:
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https://www.qacoustics.co.uk/blog/2016/06/08/bi-wiring-speakers-exploration-benefits/
That is the full article, which was provided by the OP, and a must read.
In addition, without linking approximately one million more articles including Bell, here's a good example of a site where you have to scroll down passed all the garbage crap toxic cancer disease bull audio adds (without they wouldn't exist), before you get to the heart of the matter in space, science, reality and down-to-earth scientific factual evidence in real true parlance and physical applications...music reproduction as heard by the human ears.
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http://www.hifi-advice.com/blog/aud...wire-or-single-wire-and-what-about-bi-amping/
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Now, before you reply to say your ground, please take the time to read with controlled application and absorption.
Like I said; I respect your technical expertise, and your musicianship, your trumpetism (musical trumpet instrument humor - it's in my sig too), ...it's just that I don't fully agree with your incomplete analysis of bi-wiring vs single wiring descriptive statement.
Cheers,