Assuming we're engaging in a general discussion about the matter, and not necessarily only talking about DT: I think the issue is often not that the technical player can't play with emotions at all, but rather he/she *prioritizes* the technical aspect over other considerations (such as whether it jives well with the rest of the music, creates a consistent whole). For example, I have known many a guitar player who was under the belief that a good, interesting guitar solo is created once one employs concepts such as modes (e.g. play in mixolydian) and sweeping etc.
It's a tempting mistake to make. Technicality can always be improved by applying yourself more, spending more time on the instrument. On the other hand, "flows well" and "integrates well into song" are concepts that are much harder to pin down and, frankly, require taste and experience.