Queried spokes to see what insight they might have and got two responses, which I have edited slightly to anonymize:
1. If this is a public park cycling is now generally allowed.The only park I know where cycling is not allowed is Princes ST gardens.The change came about through the land reform act.A management group has no right unilaterally to ban cycling.If you write to "the access officer CEC" he should take this up if necessary through the access forum on which spokes has representation. We can of course do nothing about too many school children using it!
2. There's a general point about maps and access that's worth reminding people about:
We at Spokes maps obviously do our best to represent on a map what we understand to be the correct status of any cycle facility, usually in consultation with the relevant Local Authority, immediately prior to publication. We take a lot of care over this. However, we are also mindful that this status might be ill-defined to start with, or change after a map has been published. Our maps carry statements to the effect that the map user must ultimately be responsible for using their own judgement if they come across a situation 'on the ground' that seems to contradict what the map shows. For example:
'The representation on this map of any road, track or path is no evidence of the existence of a right of access'
and
'Content details were checked prior to publication (dates given). Spokes can accept no responsibility for the consequences of any errors or omissions. However, we always welcome constructive feedback from users ...'
In other words, we make our best effort to show the map user what to expect 'on the ground', but just having a map in your possession isn't a guarantee of access. Clearly we don't want to cause inconvenience to our customers, but we are always willing to hear feedback and make helpful changes where we can.