"Electric" or "Fiber Optic"?
The DA40 is all electric - The G1000 uses an electronic AHRS (obviously) and the backup instruments are electric. So the FAA doesn't have it in for electric gyros entirely.
I think they don't want people to replace their vacuum gyros with electric gyros unless there is sufficient redundancy in the electrical system. In the event of an alternator failure in the DA40, there is an "Essential Bus" switch that can be turned on that automatically sheds load down to the essentials, running one G1000 screen in reversionary mode. With the essential bus on, you're guaranteed to get at least an hour from the essentials with the aircraft battery. Should you need more than that, there's a second "Emergency" switch that powers the backup AI and glareshield lighting for at least 1/2 hour off of a separate battery - When you flip the "Emergency" switch, those components are disconnected from the remainder of the electrical system.
IIRC, Cirrus does something similar with the two-bus setup, but uses a second alternator and doesn't have the emergency battery setup.
Now, if you take your average brand C, P, or B bird from the steam-gauge era, it's not set up that way - You would need to re-wire a helluva lot of stuff, and add another battery/alternator. Just simply replacing gyros with electric leaves you no redundancy.