I stand by my previous assessment. Traveler, by rule, loses the point, but his opponent should relinquish the point.
A point is not ended by the ball hitting the net; it is ended by: 1) the ball bouncing anywhere outside of the opponents court, 2) the ball bouncing inside the opponents court and then bouncing a second time before being struck, 3) the ball striking a player, or 4) the ball hitting a permanent fixture. None of those have happened in this scenario at the time traveler comes in contact with the net, so the point is technically still in play, despite there being essentially zero possibility of the ball going in.
There is no rule that distinguishes between touching the net and being touched by the net, so you have to follow the rules as closely as you can; there was contact with the net, so he loses the point.
This would be similar to a lob or shank going really high in the air, the person on the receiving end of the shot walking back towards the fence to use a towel or whatever, and the ball hitting them on the way down. They are by the fence so the ball was clearly going out, but the ball hit the person before bouncing, so it was still in play. Technically, that person loses the point. The person who hit the shot though should, in the spirit of the game, relinquish the point, because they clearly did not hit a "good shot" to use the language from previous posts.