[Update 26th of December]
Today I found the solution, Use Dropbox without Gnome. Special thanks to the author of this post.

The tool is trivial to install, very straight forward to use, just excellent. Here is a copy of the instructions:

1. Download the closed source Dropbox Linux client from http://www.getdropbox.com/download?plat=lnx.x86 (x86_64 for 64 bit)
2. Extract the contents and you should get a .dropbox-dist folder out of the archive. Move the folder to $HOME
3. Run ~/.dropbox-dist/dropboxd.

In the meantime I got SuSe+WebDav+Dolphin working for MyDrive.ch. Only rather small files are supported, though. I didn““““t figure out what“s the exact size/limit, mostly since I prefer a truly „public“ folder and MyDrive.ch supports only a „guest user“ (you need to share this login).

[Initial post, 31st of October]
My web hoster asks for more money for better service. Fine, business as usual.

But I just don““t need a whole bundle of services. What I need is more online storage. These are the results of some web research

A few requirements
1 – Public accessible folder
2 – WebDav, FTP, or whatever tool for convenient access (upload) from Linux (KDE, Suse)
3 – 1GB+ storage
4 – Free

Dropbox
OK: 1, 3, 4, Partially ok – 2 (requires Nautilus File Manager but I perfer Dolphin, which has native WebDav and split-view support), Popular service based on Amazon AWS

Google Docs
OK: 1, 3, 4, Not OK: 2, Well-known integrated services, only one GB free

Gmail Drive
OK: 3, 4, Not OK: 1, 2, Well-known integrated services, no public access though and subject to all the mail analysis by Google (guess that““s the same for Google Docs)

Box Net
OK: 1, 3, 4, Not OK: 2, Online storage pioneer

MyDrive
OK: 2, 3, 4, Not OK: 1, Nice Swiss-native service

SMEStorage
OK: 1, 4 Not OK: 2, 3, No closer look as storage tiny

MS SkyDrive
OK: 1, 3, 4 Partially OK: 2, Cryptic configuration under Linux, requires a MS-compatible tool to extract WebDav addresses