The somewhat simplistic answer would be that it achieves the desired filter response. It's just something that's available in the crossover designer's repertoire.
For the tweeter, it still achieves the desired high-pass filter response, which seems to include some attenuation as well as some minor frequency response tailoring to suit the driver when it's mounted on the baffle.
If you recreate the circuit layouts in question in VituixCAD, you will be able to see the general effect of each of the components on the response. For example, for the tweeter an equivalent would be:
For the tweeter, it still achieves the desired high-pass filter response, which seems to include some attenuation as well as some minor frequency response tailoring to suit the driver when it's mounted on the baffle.
If you recreate the circuit layouts in question in VituixCAD, you will be able to see the general effect of each of the components on the response. For example, for the tweeter an equivalent would be:
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It certainly looks different although it remains conventional. It almost adds a touch of mystique.
I guess there's only so many ways that one can connect up resistors, inductors, and capacitors in a crossover network to achieve a desired aim, without resorting to excessively large numbers of components. The trickier approach might be to start using series rather than parallel circuits, all with complex driver impedances thrown into the mix.