Linear Phase is preferable except when high Q filters (aggressive filter) are used.
High Q filters can result in audible pre-ringing and a minimum phase filter will have no pre-ringing - so a snare hit will sound more natural with a minimum phase high Q filter.
However, I think high Q filters should be avoided period!
So if you are dealing with low Q filters then linear phase is always the best. The reason linear phase is best is because it preserves the relative phase information in the audio. The timbre of a musical sound that covers many octaves or percussive instruments that have a wide spectrum response will be preserved faithfully by a linear phase filter. Minimum phase changes the relationship between various frequencies and can really mess up correct timbre.
In a speaker crossover with a low Q filter (gentle filter) I would recommend always linear phase (so as to preserve timbre especially in higher frequencies)
High Q filters can result in audible pre-ringing and a minimum phase filter will have no pre-ringing - so a snare hit will sound more natural with a minimum phase high Q filter.
However, I think high Q filters should be avoided period!
So if you are dealing with low Q filters then linear phase is always the best. The reason linear phase is best is because it preserves the relative phase information in the audio. The timbre of a musical sound that covers many octaves or percussive instruments that have a wide spectrum response will be preserved faithfully by a linear phase filter. Minimum phase changes the relationship between various frequencies and can really mess up correct timbre.
In a speaker crossover with a low Q filter (gentle filter) I would recommend always linear phase (so as to preserve timbre especially in higher frequencies)