Judging by what is written, Windows emulates reconnecting the device. FxSound cannot know what another program is actually doing and react differently to it.
Only the option to automatically switch to a new device is available.
Suggesting and selecting “disabled device” is a bad decision.
I have another sound system with similar behavior: switching AC97/HD AUDIO front panel type; port reconfiguration. Changing the configuration also causes the device to reinitialize.
It seems that this is a feature of the operation of the OS and hardware, which cannot be solved in a simple way. It requires a complex change in the capabilities of hardware, the sound system of the OS with drivers, the OS API. It is unlikely to get a result unless some manufacturer or legislator obliges to update the specification and follow it throughout the computer world.