The acoustic centers of a cone midrange and a dome tweeter when both are mounted in the same plane (e.g., on a flat front of a speaker) will not be in the same plane. The tweeter would typically be ahead of the cone speaker.
Monopulse employ this mechanical way of aligning the drive units.
Others claim to be able to do it electrically via the crossover.
Some prefer to horn load their tweeters so that the tweeter is behind the physical plane of the woofer(s).
Time alignment might not be the be all end all of speaker design but I think it does help to reduce the so called ’listener fatigue’.
I remember reading that the more unnatural the sound is, the more tiring it is to listen to. The reason usually given is that your brain will have to engage in considerably more processing with those recordings that don’t sound authentic or genuine.
I would bet that this is particularly true when listening to a recording of the human voice.