@CC
Very generous change of view - though as you say -
"But of course it would have been even better not to have paid to build it and then later pay to remove it"
Assuming the decision to build was a mistake, how to avoid it happening again?
If it wasn't really a mistake, how to deal with further complaints?
Fortunately there is virtually no chance of blanket bans on cycling in parks.
So the future must include -
Anticipation of objections (preferably at design stage) and do a sensible amount of consultation.
Better/coherent design ideas/standards for dealing with 'potential for conflict'.
Education to 'stop' Lycra louts.
And/or education for people who fear problems where there are unlikely to be any.
Meanwhile elsewhere - 'no room for cycling facilities on most Edinburgh roads in case it interferes with traffic flow'. Not about "potential conflict" - more like 'constant daily conflicts involving real danger'.