Keep at the 4 jaw, you’ll love it once you learn it. Its a little slower to true up stock, but its far more versatile than a 3 jaw scroll chuck ever could be.
That chuck looks like a jacobs multi-craft chuck. Those usually came on hand drills and typically were threaded on, not tapered. If you don’t plan to reuse the arbor it’s mounted on, chuck the whole thing in a drawer somewhere and forget about it…