IME, there is a multitude of things that will muddle your midrange and midbass before theoretical doppler effect of a particular driver.
Room interactions, speaker coupling, equipment isolation, etc, etc, etc, are all things that will cause negative effects on bass and midrange if not properly taken care of.
I have Danny's Line Source speakers which are two ways. It has taken a considerable amount of room treatments and isolating/coupling devices to tighten up my bass; but each change has never failed to make a difference.
If there is a doppler effect I have yet to get to a point where it becomes the detracting factor. YMMV.