Our Opponent Dropped Their Paddle on the Court During Play, Do They Lose the Point?

Thanks for posing this question, which is a very good question and it is always best to discuss these things outside of play.

11.H. Items on the Court. If any item a player is/was wearing or
carrying lands on their side of the court, unless the item
lands in the non-volley zone as a result of a volley, the ball
remains in play even if it hits the item.

But remember, no part of you or anything that has contact with you, including your : hat, paddle, etc., may touch the non-volley zone while in the act of volleying.

9.B. It is a fault if the volleying player or anything that has contact
with the volleying player while in the act of volleying,
touches the non-volley zone. For players using wheelchairs,
the front (smaller) wheels may touch the non-volley zone.
9.B.1. The act of volleying the ball includes the swing, the
follow-through, and the momentum from the action.
9.B.2. If the paddle touches the non-volley zone during the
volley motion, before or after contacting the ball, it is
a fault.