One of the first events at the Summer Games are the smallbore Free-Pistol. At the Winter Games the Biathlon is the first event. Rarely are either even mentioned or shown.
The US could do even better at this if we happened to shoot the Olympic events on a more regular basis. We shoot games (e.g. bullseye pistol) that are different, and while some of the skills transfer, it’s not quite the same. Even when we have the same game (at least nominally) the rules are different. For instance let’s take trap shooting, American (ATA) Trap uses a single bunker. International Trap uses 3, and so on. Not that we should give up our stuff, but let’s see if there’s a way we can dominate. Heh.