-
I think as these things go those two examples are at the lower end of the spectrum in terms of it actually being antisocial to ride through at walking pace giving a wide birth to pedestrians. There is a perception issue though. As a youngish male on a road bike wearing cycling clothing and ignoring a 'cyclists dismount' sign I feel like I'd be more a target for aggro so I either walk through or just take the main road.
I've always wondered what the history of that place (Blade Mews) is.
My guess is that the land was sold off for development with the requirement that access to the park is maintained (rather than blocking off that gate). But the "no cycling" signs that have been put up aren't just advisory. (Behind Blade Mews there's an odd section of path that's part of the park but gated off.)
There are even no cycling signs that look like they apply to the public road next to the private bit: https://goo.gl/maps/58wrhSjJtvR2
It's one of the few signs that I ignore most of the time. (The other one is the no cycling sign on the little bridge over the tube tracks between Keswick Rd and Clockhouse Pl.)