Speaking of parallel processing, linear phase filtering is useful, (if not required) when EQ'ing the return of a parallel process. For example say you're sending a bit of the drum bus to a parallel comp. EQ'ing the return would require linear phase filters because a minimum phase filter will twist the signal phase, as lagerfeldt pointed out. Mixing this signal back together on the stereo bus with the original would result in some comb filtering of the drum sounds.
While that might be the sound you're after, you've now got a situation that's difficult to control and unpredictable.
In general I agree with David and lagerfeldt that minimum phase filtering is the most useful as a creative filtering tool. But there are times when they can be deadly to transients, especially with irresponsible settings. I started an article here
that looks at some of the effects and differences of filtering musical signals. You may find it interesting. I'll finish it one of these days.
Music helps not the toothache.--George Herbert
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