The ESR of even a crap electrolytic when fresh is a small fraction of an ohm, at most 0.2, typically less.
In the context of an 8(ish) ohm impedance environment, this can only shift the crossover point very, very slightly; if you push the complex number math through, you are looking at changes of about 2% at most, vastly less than the tolerance obtainable in the capacitance value itself for an electrolytic.
The one place it might make a difference is the low pass section; the effect will be keep the rolloff going further above the crossover point, which is probably a good thing anyway; but this will only be an issue about five octaves or higher up; most systems are way down by then, if this frequency is even in the audio band.
To summarise; losing the ESR will not change the crossover shape significantly in almost all real world circuits.