He's more of a "finisher".
Playmakers or finishers is how some people classify players. Sanogo is a textbook finisher (except last game!). Hawkins is also a finisher. There is a continuum between pure finisher and pure creator/playmaker. Jackson is all the way to the playmaker side (he won't even try to finish a play even if he's wide open if there's someone else also slightly open). Sanogo will only playmake if he's double teamed. Alleyne is on the finisher side of things, but closer to the middle. He can pass and playmake a bit, but more likely to catch and shoot or attack hoop in transition. He can dribble and create a shot for himself, but doesn't usually playmake for others.
Ballhandler I consider separate, just a trait, like "rebounder" or "versatile defender."