Stop Adobe Bridge from downloading files from Onedrive when opening Onedrive folder

Bridge is not a replacement for Finder or Explore. Bridge wants to show thumbnails of the content of a file and can do so only if it has access to the file. This means that if you have offline files, your cloud service needs to load them from the cloud locally on your disk. That's the disadvantage of having offloaded files in the cloud. I suppose it is one of the reasons, why the Adobe cloud coming with CC does not work this way.

FYI: the trouble is not only with bridge, but also with InDesign, when accessing linked files from the cloud.

I do have the same problem, is there a way to solve it?

Bridge does not play well with cloud services and we often see problems reported. I'm not surprised that OneDrive would download files when Bridge tried to read the folder. Its best to avoid using Bridge with cloud folders altogether.

I guess it does that in order to use the cache but even though I can purge the cache the files will still be kept as downloaded versions. I can of course remove them afterwards but this is a bit of a hassle.