Order of in-series filters within the crossover

I designed the crossover network for my midrange driver (of a 4 way speaker) with a second order high pass filter (Capacitor plus inductor in parallel) followed by a first order low pass filter (simple inductor), followed by a resistor. All in series.

I assumed that the order of the 2 filters in series was not important. But when I switched their position (low pass filter first), I got different frequency and phase responses.

Is there a preferred order of the two filters for a midrange driver or is it only a question of taste?

I appreciate any advice.
 
There are some basic rules of dos and don'ts when staggering passive filters as previously mentioned.

It depends on the bandwidth of the filter output and filter slopes. Sharp cutoffs can provoke ringing and sudden phase shifts, which also create difficult loads for some amplifiers.

The critical circuits needing specific locations in a crossover are Zobels, LCRs and resistor padding. Secondly, any filters higher in order than 12dB need specific attention where they're located in sequence and relation to the respective drivers.
 
The difference is in reference to the shunt node. When you moved the secondary series coil out in front of the 12dB filter, it's placement with reference to the shunting coil was different.
In the first case, it has the series R with it, so these 2 components (the coil and the series R) can be flipped with no change. If you move the coil to in series with the cap of the 12dB filter, the cap and coil are then in series, not the coil and resistor any longer as prior. This will change the filter and the inherent component interactions.