The clip plane is set to 1.0 (identical to the tutorial’s) currently and even setting it to 0.1 doesn’t seem to alleviate the issue by much. I also don’t understand why it would appear smooth in the tutorial but not in-game, in this case.
Likewise for the solution @CrazyMage suggested slowing down even to 300 walk speed doesn’t seem to help too much.
I may try playing with teleporting the player earlier like they suggested, though I’m not marking it as a solution just yet in case anyone else has additional feedback.