Yes Ash these things can and do happen. All of which are things that are best for local cavers to resolve as they know the caves and know the owners. That's the status quo - with all its imperfections, but it has served us pretty well for a long time. If it isn't working, then look to the local set up for a solution, not the national set up. Step back a moment and ask whether striving for access, and perversely also for controlled limited access, has resulted in MORE or FEWER caves we can visit over the past 20 or 30 years? I suggest that there are more caves I can choose to visit now than at any time in my life of caving and mine exploration.
If caving is recognised under CRoW they'll be more caves you can visit.
I'll use a specific example to prove a point, as its one I know reasonably well:
Lathkill is a cave on CRoW land with four entrances. The resurgence, top entrance, Critchlow cave and Garden Path. Its a reasonably long, very restricted cave with a few large chambers with pretties in.
From the resurgence upstream there is then top entrance, Critchlow then Garden Path.
Top entrance leads immediately to the waiting room (large chamber).
Garden Path leads immediately to dream time (large chamber).
Between the two is the emporium (large chamber).
Now dream time isn't very pretty with a fair few straws about, a little flowstone and a few deposits.
The waiting room is quite pretty, with lots of flowstone, a few deposits, and a fair few straws, stal and curtains.
The emporium is beautiful, tons of fuzzy looking flowstone, bright white pretties everywhere. Honestly one of the most brilliant sights I've seen in caving.
Critchlow and the resurgence you need BCA insurance.
Top Entrance needs BCA insurance and the filling in of a logbook.
Garden Path needs BCA insurance and a key. This key is incredibly hard to get, despite the protestations of others, it simply is. Recreational trips are not allowed at all.
Even the cave monitoring forms list nothing on them specifically relating to Garden Path as opposed to the waiting room.
Getting rid of this arbitrary restriction, and others situations I'm sure are similar in all areas, would allow people to focus on protecting bits that actually need protecting. In this example, the emporium. Where there isn't even any tape!