Took a look at the product and for other readers here is a picture
In one of the reviews the new owner had the same complaint as you. The company does not offer an alternative to mounting it on a brick or similar wall. That person would not buy it again because it was difficult to mount. It does risk falling off if mounted to drywall. You could buy a piece of decent wood like oak or cherry wood and mount it on the wall first spanning two studs. A cheap piece of pine probably wouldn't look good. Most home centers have wood like that in 1 X 6 and various lengths. Not cheap though these days. The holder is priced at $165 on Amazon. That was one of the other complaints - the price and not receiving a complete package. About half of the reviews on Facebook (in English) were negative. Not a good sign for something this expensive.