@Helen,
sorry, but I disagree with that.
In the Web UI, you can add a folder. Then you have an interface to browse on your (remote) local file system (see attachment).
So technically it IS possible. It's just not implemented...
This would really be an added value, so please consider this to implement in next releases!
@guillaumeb: I use another tool for web access to my (remote) local file system: Tonido: free, has also a sync client (which I don't use), and a relative good webinterface for browsing. Can run as a service too. So my "server": WIN10 + Resilio + Tonido.