Ignoring the "FF lens on a crop body" question, I'll answer the specific question from the thread subject: It depends.
The 1/focal length rule is a useful pointer that IS is less critical for wide angle lenses, and obviously if you were shooting moving subjects (that required a shutter speed faster than the 1/focal length rule for your lens) then IS is not that relevant - apart from possibly making framing a bit more steady with a super-telephoto.
For me, the killer application for IS on wide angle lenses is the interiors of stately homes and castles; usually dimly lit, and tripods aren't permitted. I think of each stop of IS as being something I can "spend" on getting more depth of field or reduced noise (due to lower ISO).
Imagine for example that you have a shot at 20mm with the following exposure details: 1/25s, f/4, ISO 3200.
With 4 stops of IS, I can put a couple on the aperture and a couple on the ISO, so f/4->f/5.6->f/8, and ISO 3200->1600->800. The shutter speed needs to move by 4 stops, so 1/25->1/13->1/6->0"3->0"6.
Assuming the IS system is good enough to get a sharp shot at 0"6, then f/8 and ISO 800 is going to get you much more DOF (and probably sharper results across the frame), and much less noise.