Carnivorous plants in a bog filter?

I've tried searching a bit but haven't been able to find information about this. If you use a bog filter for a pond, will carnivorous plants such as sarracenia or VFT do fine in there? My understanding is bog filters are supposed to remove nutrients from pond water, but we generally don't want nutrients to accumulate in the growing medium. On the other hand, I frequently see people put sarracenia pots directly in their shallow ponds with no ill effects. Those aren't exactly bog filters as I understand them (no water pumped through), but it's close enough to make me think they'd do fine in a bog filter. Does anyone here have experience with incorporating their carnivorous plants in a pond?