K-JD is fine; K-MBA is not.
MBA students with work experience receive the most benefits from MBA programs, while law students have no such avenue open to them.
(Paralegal work is quite different than the work of an attorney, although necessary and related. One with a paralegal background is unlikely to derive more from law school courses than a K-JD would. In fact, it can be harmful. Not so with respect to post college work experience and MBA coursework.)
I agree that many one year specialty masters programs are more appropriate for a recent college graduate than an MBA program.
Duke University offers a 10 month masters degree in business foundations for recent college graduates who did not study business during their undergraduate years. Duke’s program is open to all. Northwestern University has a similiar program limited to those with less than one year of post-undergraduate work experience who recently graduated from Northwestern University. NU’s program is only open to graduates of Northwestern University.