Here are all the cases in the montreal area:

https://overpass-turbo.eu/s/1uH1

Please read this thread: https://community.openstreetmap.org/t/use-of-bicycle-designated-vs-bicycle-yes-outside-of-germany/3230/47
especially this part:
"However, because OSM-Carto puts the blue color on any path marked with bicycle=designated, I think it will continue to reoccur where people will use this tag in order to show a particular path as a bicycle path, irregardless of legal status."