What a bizarre situation. So if you have extra balcony space, you are not allowed to generate more than 800W for your own use?
If people started plugging a 2kW grid tied inverter in a normal power socket - as is the case for balkonkraftwerk - houses would start catching on fire.
Nobody wants that. Yes, regulations are necessary for a safe and civil life.
Bypassing the grid and using your own storage infrastructure is AFAIK not allowed in Germany (there are heavy taxes on electricity, that you would be omitting - similar as to how you technically are not allowed to make your own Schnaps at home due to taxing).
800w sounds low to me, especially on 120v in the US, but the rules may have been in place for older less efficient / bulkier panels in mind.