I'm not aware the car will run without the cam sensor unplugged. Do you mean the valvetronic connector?

The shade tree diagnostic for valvetronic intermediate levers or valve height setting is to unplug the valvetronic if the idle is horrible; unplug the valvetronic and it will idle fine.

The bad idle usually it the minimum valve setting or bad intermediate levers. Look to see if your VIN is included in the intermediate lever recall on the N62

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2011 E70 • N55 (me)
2012 E70 • N63 (wife)