I'm not seeing that as too much of an issue after reading that site
Permit Site We have a few places here in PA like that and they have told us that it's simply just so that they know whom was detecting in case there is some apparent property damage. It also say that you can keep coins.
At the DNCR places here in PA you simply walk into the park office and fill out a very small form and you're off detecting. We have never had anyone stop and ask if we stopped at the park office. Simply a formality. Here is a quote from the WI site:
"All excavations shall be returned to their original condition. All identifiable items (not cash or coins) and historical items must be turned in to the office before leaving the property or at the end of the permit period. If unclaimed, and return is requested, the items are returned to the finder after 60 days. The state retains title to all objects of archaeological interest. If the permit is issued to find a specific item lost by a park visitor, that item does not have to be turned in. "