I would suggest to stop the retagging and to revert your edits, because I think you are not aware of https://wiki.openstreetmap.org/wiki/DE:Bicycle/Radverkehrsanlagen_kartieren.
hw=cycleway is only used in case of sign 237 (which is very rare in Aachen), hw=footway for sign 239 or if the way is clearly intended for pedestrians (like a separately mapped sidewalk). All ways which are meant to be for bicycles and pedestrians should be tagged as hw=path, eventually with approbiate access-tags (bicycle/foot=designated).
For example: You changed https://www.openstreetmap.org/way/12689122 to highway=footway, but there are bicycle routes on it.
Other example: https://www.openstreetmap.org/way/12691813 was tagged correctly as hw=path which corresponds to the recommendation in my first link.