Here's something to consider regarding minimum phase and linear phase filters:
When you apply a minimum phase filter to a minimum phase device, you achieve a minimum phase result. This means that if you hit your target magnitude slopes, you have also attained your target phase characteristic.
When you apply a linear phase filter to a minimum phase device, you get something that is neither linear phase, nor minimum phase. In order to achieve the perfectly idealized linear phase result would require total compensation for the transfer function of the device to which the filter is applied (in our case, speaker drivers). It likely isn't necessary to perfectly achieve the idealized linear phase result. Once something is attenuated 40 dB, it doesn't have a big impact on the sound. It would be interesting to see a study on the impact of this, particularly for technologies that seek to achieve a particular result, like Keele-Horbach filters.