This sounds like a Configurator/Bridge problem, as you’ve indicated it works fine in X-Plane itself (which is what I use—I want to use the Configurator as little as possible because I find it to be quite a terrible user interface personally).
In the X-Plane plugin SDK there are two ways to actuate commands, “CommandOnce” or “CommandBegin”/“CommandEnd”. The correct way is the latter, and this is what the CL-650 is expecting. This is important because it allows the aircraft systems plugin to know when you’re holding a key/button down and when it’s released, this is tied directly to the animations, for example. Sometimes hardware integration plugins default, or only support, the former which can cause issues like you’ve described. I don’t know this is the issue in this case but it’s a possibility.
Is there a way to force the Configurator to use the Begin and End method if it’s not already to eliminate this as the cause?