MsDoe:
Thank you for your clarity, and honest assessment. Total victory is likely not achievable.
I figured as much. When I first bought the bag of soil, it sat around for about 6 weeks before I re-potted. 3 weeks later, the gnats appeared. So, a 2+ month period in larvae form, and they still survived.
So, it looks like "Mosquito Bits" and Sticky Traps will be in service in perpetuity.
At least, this website has given me the tools to put up a good fight.