No, we don't want to restrict access. As someone who's worked in municipal services (collecting recycling), I know what a complete pain gates, bollards and binstore locks are, even when you have the key or code. Even if emergency services had a key (or bolt cutters), there's the issue of deliveries, bin lorries etc.
Anyway, we have no right to prevent access, but we can prevent parking (Like a farmer must allow access to a footpath or bridlepath, but can stop someone camping on their land.)
Apparently the other day a woman parked up, and seeing NT looking at her, said "I pay my taxes, I can park where I like!" Actually love, as you'll find out when we put up the Private Road sign, you're wrong about that. If she thinks that, she can go and park on the hard shoulder of the M602 over the road...