The HUGE question that is well worth investigating is how much parenting or good teaching or anything else can change a young learner's level of conscientiousness. Conscientiousness changes over the course of life, so it isn't completely fixed for anyone. It varies (somewhat) among identical twins, so environmental influences do matter in development of a given degree of conscientiousness. But so far we don't know a lot yet about what kind of parenting or what kind of teaching might work best to develop conscientiousness. That's well worth learning about. Calling it "grit" is regrettable because that prompts people to neglect the prior research literature.
AFTER EDIT: Comments below this comment asked for definitions of "conscientiousness." I'll put a few links here.
http://pages.uoregon.edu/sanjay/bigfive.html
http://http-server.carleton.ca/~tpychyl/011382000/BigFive.ht...