IIRC, in most states, you can't just claim "homeschooling". There are certain basic curricula available to follow, especially for areas where you (as the instructor parent) have no expertise. There is testing you must pass in order to receive a diploma from some accredited for- or non-profit body. I would imagine that LaMelo would still have to take the SAT/ACT and submit the scores to the NCAA clearinghouse in order to be eligible to play in college, assuming he doesn't play overseas for a year and then enter the draft.
If I'm a college coach, regardless of how good, bad, or indifferent a player LaMelo is, I want absolutely less than no part of him because I don't want his father in my building unless he's bought a ticket. LaMelo is just not worth the trouble that's irrevocably attached to him.