General Access=no bicycle goes over it, foot detour

In openstreetmap the general tag is set to access=no and there is no tag set that something is allowed to pass. Is the tagging not 100% correct ? The raison why is it set to no is unknown…for the moment…(works at the bridge itself, painting job ? so the highway itself is not touch stays a cycleway) does the api ignore the tag access ? or it is overrule by the highway=cycleway

bike link

foot link
thx for your time reading it.

Has it fixed in the meantime? Also I’m not 100% what your exact question is - would you mind to reformulate it? e.g. show the incorrect route and the correct route with some additional via points