A few of us walked by the shaft top last year, and the lid was buried under a lot of mud and sheep-shit, and didn't look like it had been accessed for a long time. The landowner up there has pretty much said no access to everything. However, one other nearby entrance is (almost) next to a public footpath, and as far as I know was repaired and grilled by a PDMHS team, so it's an awkward discussion to get into with them, especially in public.
Moss Rake East quarry currently has a bunch of Peak Park stop notices across the entrance, as 'someone' has been dumping toxic and prohibited waste in the quarry, and they are threatening all sorts, as they must. There are a lot more signs, but I put up the two most useful. All the quarrying and spar-extraction has stopped, so sooner or later the Peak Park are going to start insisting on clean-up and restoration, which I believe will be the landowner's responsibility. I have no idea of the volume of those quarries, and whether backfilling is even feasible (and with what?) but the amount of work required to stabilise them and make them safe (or make them totally inaccessible to the public) is going to be immense and probably financially crippling. The land is effectively now wasteland, with little hope of 'improvement' or further business prospects possible.
Turning the whole of Moss Rake, from Outlands Head westwards to Cop Rake into a mining heritage site, with underground access to all the mines (and caves therein) granted, rigged safely and competently, (and access supervised by a responsible body) would be by far the best solution for everyone's 'problem'. A lot of work no doubt, but a far, far better use of the land than the current Wild West comedy situation that remains in place. And it would probably keep the place in better condition too, once people who knew what they were doing were allowed to get stuck in.