In theory minimum-phase would be sharper, not smoother, given reduced pre-echo, and the ears being insensitive to post-echo.
In practice any style of temporal smearing is above the audible passband. And, as @Mike123 said, legal audio signals are already low-passed and negate the chance of audibility.
There may still be a reason for minimum-phase sounding sharper, not smoother. The phase distortion may increase the amplitude level of peaks, whereas linear-phase keeps peaks more intact.
In practice any style of temporal smearing is above the audible passband. And, as @Mike123 said, legal audio signals are already low-passed and negate the chance of audibility.
There may still be a reason for minimum-phase sounding sharper, not smoother. The phase distortion may increase the amplitude level of peaks, whereas linear-phase keeps peaks more intact.