I wouldn't be very comfortable with that situation, either.
My .02- The terms are a little rough for the fish owner. Like most government forms, though, this one just gives the deparment a lot of discretion to do their job. The terms seem to be more precautionary-- it allows them to cover their hide if something goes wrong and they need to come out to your pond. I seriously doubt they have the time and money to actively intervene and disrupt what you're doing. Chances are you'd never see them, but they need the power to manage.
