LOTS of JD students have felonies who later get licensed just fine as well.
I don't think lots of JD students have felonies, and then get licensed. Misdemeanors , yes, but not felonies. Even in CA (which is pretty lax) a felony conviction results in disbarment proceedings.
If someone has a felony they better check with their state bar before spending three years and $100k on law school.