You really can only use one set of the Boase AMs.
Bose is very proprietary. So the AVR signal will be processed by the Bose bass module. The crossover to those small speakers is at a much higher frequency than the bass management of an AVR. However the bass module will mix in the LFE signal.
You can not wire those speakers in series, as if you alter the impedance you will drastically alter the crossover frequency between the satellites and the bass module. This crossover in those Bose units to the satellites is passive. So the impedance can not be altered.
As with all Bose units you can only use them as intended.
I really don't understand why you are so committed to Bose. The fact is, yes fact, they are not very good. The have a an exaggerated bass in a fairly narrow band to cover for a large frequency gap between the bass module and the satellites. In addition there is no low bass. This gap is known as the Bose hole. This is not just my opinion, but is well documented and known. If you are in any way used to natural sound systems, the shortcomings of these Bose systems are glaring. So there are very good reasons why these systems are on the not recommended list.
The Bose hole.
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That is the very definition of one note bass. That tends to be a problem with all higher order coupled cavity bass systems not just Bose.
This is a typical Bose bass module arrangement.
That is a sixth order bandpass loading. That is considered high order and not recommended.
This is where it gets technical, but there is also a question of bass quality, which relates to Q, which is related to bass quality. Low Q systems have a nice tight bass, but high Q ones have a "fluid" bass. Now in these coupled cavity systems if Q is low, the bandwidth of the bass in low and tends to the one note bass I was referring too. As you widen the bandwidth Q increases and bass quality of the bass decreases. As you increase the order of these coupled cavity systems then this problem I have outlined is increasingly exacerbated.