well you know the secret is in the editing.
I was reading an article on The White Stripes and the current trend of commercial audio production, which I find to be true.
Music in the 00's is very edited music. Meaning that it is corrected and compared to a click track. The work for this can be insane, having to cut up drum tracks hit for hit, guitars and bass bar for bar, and vocals word for word.
Alot of people debate that vocals are way too perfect to not be auto tuned these days, but I think of it another way:
I think the emphasis on doing a perfect pitch take is probably more common now than in previous generations of music. So if you come across a pitch def singer, I beleive they would rather having him sing again and again until he nails the right pitch before considering auto tune.
So ideally, it does help that you play as acturate as you can before the engineer starts chopping up and aligning hits.
When things are in time (not perfect time) and in perfect pitch, that adds to this 21st century sound that might come off as "presise and together".
But that can also ruin a sound, big time. There's a fine line between "tight" and "Sterile".
For example, I'm finishing up this latin jazz album that has taken the producer forever to get into shape. The previous engineer who worked on it, before they handed it over to me, asked me, "did you align all the hits?" And I looked at him like he was crazy and replied firmly, "uh, no...why the hell am I going to take that natural vibe away?"
So you see, it depends on how you approach the matter.