Additional information (e.g. StackTraces, related issues, screenshots, workarounds, etc.):
When I uninstall Logitech Options (which disables several buttons on the mouse), BTT functions correctly with the horizontal scroll events. I would blame this entirely on Logitech, except for the fact that BTT captures the horizontal scroll event when creating the trigger/action. It fails otherwise, but since it can capture the horizontal scroll event sometimes, I am classifying it as a bug that it doesn't capture it all the time.
This is affecting every mouse that uses Logitech Options and Logitech G Hub. Essentially, the right and left scroll actions are detectable during configuration, but not for actions defined in config.
So, I checked that box and restarted BTT. There is a change in behavior, but only when BTT is the focused application. Specifically, my screen has some sort of flash. I'm a new user so I am unable to upload videos here, but it's like a near instant 70%, white overlay, followed by an immediate, 300ms fade out to my normal screen.