One practical consequence for learners in both directions, since this is not merely a classification exercise.
Speakers of tonal languages learning English often find the intonation system genuinely difficult, because pitch is doing something unfamiliar — spread over a phrase and carrying attitude rather than identity.
And English speakers learning a tonal language frequently produce tones correctly in isolation and then lose them in sentences, because their instinct is to use pitch for sentence-level meaning. Asking a question in Mandarin with an English rising contour changes the words rather than the mood, which is a memorable way to discover the difference.