I think it's incredibly naïve to imagine that we can argue up spending on cycling segregation while avoiding compulsion and while it's selfish I don't want to be forced off of the roads for my ride to work and back even if it means little Timmy can cycle safely with his Grandpops on Sunday afternoon, it's not like there aren't already places they can go and do that.
Perhaps in your corner of the world, cycling for little Timmy is just about having some fun with Grandpops, and the distances are such that he needs to hop in Dad's car if he actually wants to
go somewhere.
Where I live, a child of 5 or 6 could, in principle, meet 95% of their transport and mobility needs with a bike plus public transport (there are something like 6 different rail lines within a distance a kid that age can easily ride, a dozen parks, four or five major shopping districts). So, for that matter, could most of the adults if they weren't some toxic combination of lazy, selfish and afraid of the roads. The idea that having somewhere kids can "go and ride a bike" is acceptable provision completely misses the point. Actually we have an excellent velodrome a few miles away, but getting there with a kid and their bike is far harder than it should be (even driving - the roads are gridlock at school pickup time, I wonder why?). It's not just about making cycling safer though, it's about removing the number one reason|excuse (delete as applicable) for
not cycling.
Granted, if you live in a rural or outer-suburban area this may not hold true, 20-mile-each-way trips are a regular fact of life, but I don't think anybody is proposing to build segregated cycle superhighways in Sevenoaks?