A wormhole is not really non-local, I would argue, you just get another path between two points that might be much shorter than the regular shortest path avoidi

A wormhole is not really non-local, I would argue, you just get another path between two points that might be much shorter than the regular shortest path avoiding the wormhole. But even travelling through a wormhole would not make you disappear in one place and reappear in another without following a continuous world line.