You did not draw the circuit correctly. It is a classic second order series crossover. These are not often used as they are actually at a disadvantage with the usual parallel circuit.
For first order they can have an advantage. Series crossovers are hard to implement. When I built my state of the art studio monitors in the early eighties, I was interested in having speakers as phase and therefore as time linear as possible. These speakers are my rear backs now. They are phase and time aligned from 180 Hz to 20 KHz.
Since the bass drivers are KEF B 139s in a TL they needed a far steeper slope than a first order crossover can provide. However with the cooperation and interest of Dynaudio a phase coherent crossover was developed over 10 years, yes 10 years, to incorporate a Dynaudio cone midrange and their smaller midrange dome the D52 AF and their phenomenal D21 AF 3/4" dome. Crossovers were at 180 Hz third order active, 900 Hz first order series passive and 5 KHz first order parallel.
Although seemingly simple, it was far from it in achieving a really superb first class speaker. These will till stand the comparison with anything currently available.
The reason for all this was that I became in addition to my responsibilities as an ICU physician, I became the outside broadcast engineer for the local public radio station for classical programs. I had a keen interest in making time coherent recordings and therefore required highly time coherent speakers for their evaluation.
After many years of experience and experiment and can vouch for the fact that a phase coherent recording played back through essentially phase coherent speakers does in fact produce the closets approach to the original sound and set a significantly superior standard.
Now your circuit is interesting, but second order and therefore not time coherent.
You can find more about all of this here. But personally I would only use a series crossover network in a first order network. So in essence I'm not overly impressed with that network.
