Regarding the scenario where the column is snapped off at the interface - I would just put a GC septum over the column (or flush against the nut) and vent nomally. Allowing air into the manifold at high temperatures may oxidize the source and the analyzer.
Agreed. A broken column will cause more problems with oxidized source than with the diffusion pump, especially if the rough pump is still pumping. Just run through the vent cycle then repair the column and check the source to see if it is a goldish or blueish color, if so clean it, that is the sign it was oxidized.
If you have had a diffusion pump unit running for several months without venting you will normally see several large droplets of oil on the baffles when you open the analyzer, it is common. Unless you see the oil our away from the baffles(fins) in the bottom of the analyzer or on the radiator surrounding the quads, don't be too worried. If you see oil on the radiator then you have had serious backstreaming and it probably means the valve in the rough pump has gone bad and allowing the air to flow backwards from the rough pump once it has been turned off.
Not since the days when I used the old HP 5995 with the massive water cooled diffusion pumps they used have I encountered problems with oil backstreaming due to minor power outages and such.