First thing is
to always view an American holding forth on the internet about things German with suspicion until proven otherwise.
In this case, the recipe is an American adaptation that would never be baked in Germany. German bakers use oblaten, not rice paper, to bake Lebkuchen.
Oblaten are made from wheat. Germany doesn't grow rice.
The original bakers of Lebkuchen, monks, baked the little cakes in molds. As they became more popular, they wanted to bake more Lebkuchen faster. Therefore they started spreading the dough on oblaten which were the unconsecrated host for catholic communion, so that the Lebkuchen wouldn't stick to the brick ovens they used at the time.
It s now just a matter of tradition since we have parchment paper, silpats, and non-stick baking sheets. I always bake my Lebkuchen on oblaten just because I like the tradition of them being there, but they aren't necessary these days.
Also, there is only one variety of Lebkuchen that uses the baking oblaten, and that is the Nürnberg variety known as "Elisenlebkuchen." There are many other forms that do not use the oblaten, such as the large Lebkuchen hearts for sale at Oktoberfest and Christmas markets.