Wandsworth is a mean, mean, mean LA
they threatened to close the little zoo at Battersea Park a while ago, and ended up flogging it, iirc
that adventure playground is very well used- as someone said upthread, a lot of kids go there who haven't got access to outside space. As far as I remember, although it's big, it's not got much 'extra' to it- eg compared with adventure playgrounds in Lewisham, for instance
if they start charging for it, the only thing poorer kids will be able to do in Battersea Park will be to kick a football about...
I wouldn't be surprised if this is a bit of social control- they'll probably be hoping the less well off will fuck off over the border to Lambeth to play
I know I sound paranoid, but as London councils go, I'd put nowt past Wandsworth. Or Westminster, come to that...