The hexavalent chromium is something to think of. Even on a steel bench there are little micro-welds if a part isn't clamped down strongly enough to make good contact.
The ultimate welding bench I saw once in a plant's fab shop was 1/4" thick copper.
The main functional concern would be torch work especially if its 1/4" thick or less. Stainless does not conduct well, heat stays concentrated in a local area, one reason it seems to weld like butter.