Driver serial connection

I found old German amplifiers; Braun Atelier series; A1, A2, R1, etc. have speaker set A and B wired in series when they operate in A+B mode, instead of parallel connecting like most amplifiers.

I wonder if I connect the multi-way speakers — no matter 2-way or 3-way — in “Bi-Wiring” configuration in serial connection to traditional amplifiers, are there any disadvantages compared to parallel connection?

Attached is the illustration of a view from amplifier to a 3-way system connecting in bi-wiring setup in serial connection.
 

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I'm not sure what you are proposing: are you planing to take a speaker system having two wires and designed to be driven from a voltage source (i.e. the power amp) and instead change the internal wiring of crossover and corresponding drivers? It would be a completely different speaker system and not what the speaker designer intended.
 
The woofer wants high current, you don't want to pass that current through the tweeter(s) it will fry them. Or if the cross-over prevents this it will also prevent the woofer getting much signal.

A and B are for separate sets of speakers, say in different rooms, never intended for bi-amping!
 
A typical woofer network tends to become a high impedance at high freqencies, and a typical tweeter network tends to become a high impedance at low frequencies. When you put them on series, you don’t pass much current.

A series crossover network that’s purpose designed is a completely different circuit. Which will not work properly if you try to separate the sections and operate them in parallel.

It’s either or, and one cannot be easily converted into the other.
 
I read that you can serialize two or more PA speakers (with crossovers) and that can be accepted since a speaker Is defined as a minimum phase device (being an attuator...!?!) so the sum of them mustn't provoke a disaster, since a speaker system with crossover should be be designed with the electrical side in mind...you know, phase brings time smear...reflected to currents, I mean, the inverse ( Always present as a fractional)... Bode! What else?! Eh eh