I had a similar issue with the GE 12727 (non-dimmer) and 12729 (dimmer). Non-dimmers distinguish between digital and physical but the dimmer does not. Seems like APP_COMMAND is added when the switch is physically pressed.
When working with Jason from support, he mentioned that a feature request would be put in to make both DTH’s similar and use physical or digital to distinguish, but so far I have not noticed a change.