The following words are based on my own experiences, but the engine is a 2009 2.9 between 50K and 65K miles.
1
If I just start it to move the car down the drive the cold start fuelling is still working, shut the engine off.
Next day, re-start and the engine will start again on the cold start still being 'rich' from the previous day. Smoke can erupt but NOT the HUGE white cloud. most times nothing comes out of the exhaust like smoke of any colour. Do this short cycle more than 3 times and some black rich smoke might erupt, gone in 15 seconds.
2
If the car is used, short (20 miles) and long(100+ miles) it might randomly erupt the massive white cloud on cold start up, usually outside a crowded hotel with people everywhere...
I changed the AOS twice (different design but same principle to the 986). This did NOT cure it happening at all, but read on:
3
Last service my Indie slightly underfilled the car (2 empty segments showing, dash indication only). It is usually one segment empty to the manual.
Result was ZERO white smoke. This has been the case for 9 months now where it normally would have erupted at least 6 times.
In my experience the white smoke is due to the engine oil level being too high saturating the AOS and overwhelming its function.
Now you have the AOS get the poor mechanic to fit it, he will love you for the opportunity, but on re-filling the engine keep away from the Max mark on the dip stick.
I believe the white smoke is neat oil getting to the inlet tract. It is normal for fine oil mist to get to the tract, it is where the AOS vents the mist after all, the neat oil separated from the heavy mist from the engine crank case runs down to the case/sump after the mist is collected and condensed by the AOS (air oil separator doing it's job).
Anyway, after 18 months of worry this has been the result.