Chained speakers signal connected in series


I have two pairs of the same model speakers (Tannoy SGM 10B) connected in series to two monoblock amplifiers. The left channel amp drives two speaker cabinets on a left (speakers L1 and L2) and the right channel amp drives two speaker cabinets on a right (speakers R1 and R2).
The positive speaker output of the left amp is connected to a positive post of the first speaker L1(+). Then the negative post of the same first speaker L1(-) is connected to positive post of the second speaker L2(+) with the its negative post L2(-) connected to the amplifier's negative speaker output.

AMP(+) > L1(+)
L1(-) > L2(+)
L2(-) > AMP(-)

Both left channel speakers have a cross-overs build in. Does the audio signal that the first speaker L1 receives from amplifier is any different from a signal the second speaker L2 receives from speaker L1? Does the crossover of the first speaker L1 modify the output signal that goes to a second speaker L2?
esputnix
Yes, OP that is basically what I said. One speaker connected to each amplifiers output will sound better than two, whether it's in series or parallel. If you connect them in parallel, if your amp can handle it, it will be about 3dB louder but NOT as clear, just like in series.
For those other Agoners that said the crossover frequency will change when connected in series, I have done the calculations and the crossover frequency DOES NOT change. I will post diagrams later, but if you want to do your own calculations, be my guest. Can we agree that Rt equals 16ohms in series? Can we agree that Lt = L1 + L2 in series? Can we agree that 1/Ct = 1/C1 + 1/C2 in series? If it's yes to the above, then simply plug those numbers into the equations. f = R/2πLQ and f = Q/2πRC. Both will come out the same with a very small error depending how many decimal points you take it out too. Happy listening to all.
     Personally: I don’t find the idea that an audio signal, after passing through a system* when fed into a subsequent and identical system, in series, might just sound a little different, the LEAST bit surprising.

     They’re rated at 6 Ohms, so: can only be run in parallel (a 3 Ohm load, but varies, fed a music signal), with an amp that can handle a 2 Ohm load, with stability (check your amp’s specs).

     *Referring, specifically, to the TANNOY SGM 10B Super Gold Monitor Speaker; comprised of two open-air-core inductors, two iron-core inductors, a bunch of wire wound resistors, a couple voice-coils (resistance, inductance and back EMF) and an electrolytic.
      Regarding those voice coils, impedances and such:    http://education.lenardaudio.com/en/05_speakers_3.html

      The chart shown: for an 8 Ohm (nominal) speaker

                 Note the lower freq impedance dip.        
       btw, for clarity: What I listed above is all found in ONE, SGM 10B crossover network and the system’s two drivers.
rodman - That's all good info, but when I saw "geek" letter for ohms instead of Greek letter, it made me skeptical😁 The clarity thing I mentioned is from my testing, I had to prove it to myself. The theory about multiple drivers over the same frequency range is pretty well known. This is for high frequencies mostly, but also applies to the midrange in my listening tests.
esputnix - To make your listening tests more meaningful and convincing, use an SPL meter to make sure the listen levels are both the same. I would also use the same program material, speaker placement and distance from the speakers to your listing position. All things being the same, something louder will appear to "sound" better.