I think Swamp does require gecko. Super Liam, however, should just work. Try removing and reinstalling it. Sometimes winetricks doesn't manage to download the packages it needs. Once it gets them though, they are cached, so the next time it just installs the same one.
Super Liam only requires vb6run and dx8vb
I ran it just to make sure it still works now, and it ran just fine with only a few gstreamer errors printed on the terminal. Could you be missing some gstreamer plugins?