Paragliding is sadly excluded from CRoW as it is deemed an aviation activity, (de)regulated by the CAA, rather than a sport.
Paragliders are aircraft, and as such "need" regulation on their launch and landing sites, much like other vehicales. Plus sharing airspace with other users needs care, training, and oversight.
Not saying I agree with the whole premise, as many fly for the outdoor recreation benefits rather than transportation or commercial gain so the activity as a whole shares DNA with caving, going for a walk in the fells etc, but this is where we are. Paragliding is a very young and immature sport, born sometime in the mid to late 80s into a world full of regulation, unlike caving, climbing, sailing, all of which have a long and rich history.
In many ways it is fortunate that the CAA have delegated responsibilities to the reprasentative freeflight national body, the BHPA, as it makes the licensing and legal situation much less onerous for individuals than in other countries, though the BHPA carries it's own politics and cultural inertia much like the BCA, and the significatint issue of the monopoly on third party insurance.most clubs and therefore the use of launch sites require BHPA membership specifically (for insurance).
Rope sports don't have the same vehicle/license type issues, the land access issue is the primary challenge. The situation with regards to caving and inhibiting interpretations of the CRoW act are continually bizzare.
A digression, but I think it's important to be aware of how other outdoor users operate, especially when faced with existential threats to the activities. Perhaps there is some national council for the representation of all outdoor activity and wild space users I am not yet aware of?