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Some of them do but it's part of a huge problem they have about how they look at things. If you look at the very often shoddy way diversions are put in place for cyclists or worse they just slap down random dismount signs it's very telling about how little cyclists are really considered. Also at the other end of it is a very clear set of rules about what a road can/can't be when finished and very clear rules about how you can/can't divert pedestrians and motorists but then for cyclsits and cycle tracks that's missing or the rules are very relaxed to allow use of gravel trails and stuff, with no specific rules broken you end up with no pressure from above to correct it beyond a vague tfl dream to improve by year 20xx maybe.
I remember when tfl did the bit by oval they made a big song and dance about the new machine.