I believe that as opportunity to do something diminishes, support for the activity goes down right with it.
In the case of hunting in recent history, all states seem to follow this path:
1) Everything is OTC, anyone come and have fun.
2) Too much pressure on the resource leads to the first restriction, NR are limited.
3) Both R and NR are limited.
4) This step the anti hunt crowd sees their opening and starts to push their agendas. Species and methods get limited.
5) Complete removal of hunting a species.
All states pretty much at this point are at least at step 2 and some states as far as 5 (California, Washington).
@Treeshark's point is just that as step 2/3 happens, removing the support aspect that follows suit with those restrictions hurts the ability to fight against step 4 and 5. All you have to do is look at states where this has already happened.