"Conscientious" is one of the 'big five' character traits, somewhat different than attention to detail.
Though I think I understand exactly what you are trying to say an wholeheartedly agree.
"Conscientious" people are probably naturally more inclined to detail to make sure that their work is good.
But I would point out a small delineation point: some things are just a matter of focus.
Typists, some kinds of accountants - it's a matter of 'process focus' - that they are focused and attentive to their work, and make few procedural errors. This I think is a behaviour and can hardly be learned - and is often not very well correlated with 'creativity' or 'big picture thinking' at all.
But I really do agree - the 'overall more conscientious' types - no matter the trade - are the best people, unless you need star talent, but even then ... They care about outcomes, not just 'handing off' some thing, or 'fulfilling their narrow duties' etc..
You know what's paradox: older people tend to be far more conscientious: they pay their bills on time, more likely to do the things they say, less averse to going off topic with hyperbole, get along with others, punctual, they vote, they volunteer, etc. etc. - and yet there is a strong bias against them in some workplaces. Though it could be related to the idea they may not want to learn new things, or 'keep pace' etc..
I know otherwise highly conscientious people who miss emails, are are a little absent minded at times. You can't have that for someone who is managing your schedule. :)