Gavin Harrison, Neil Peart, Marco Minnemann, they're all virtuosos, but none of them I would call lifeless. But frankly, that's also because they make sure their drums sound top notch on a record. That double bass run in TEI would sound good with a strong drum sound; it's just that with the sound on DT12 it sounds totally like a drum computer. And MM's precision only exacerbates the situation.
And to hit on the bigger point here, precision, while sorta "cool" in itself, almost always becomes problematic when overdone. In fact, any modern drum machine these days has a "humanize" option for exactly that reason. People perceive the slight imperfections in drumming, but they carry a lot of meaning, since any listener can tell whether the drummer was bored, excited, chill, whatever. That's what makes drumming an "expressive" instrument; if you take that element out by hitting exactly on time and exactly with the same velocity each time, for most people that actually takes away from the enjoyability of the performance.