When my Touareg wasn't being used for about 10 months due to health issues, the automatic transmission would lose it's internal pressure after about 3 months unused - letting it idle for a few minutes soon cleared the warning messages - the battery went flat after about 6 months causing the central locking not to open, so reliant on the plastic emergency key.
With a diesel PHEV there's an increased risk of the DPF not regenerating if the engine-driven trips aren't long enough.
With PHEVs having useful battery range I can envisage some owners rarely using the engine. Do the engines start up on occasions in order to keep the engine fluids circulated. Ie use it or lose it. I even turn over my mower every couple of weeks in winter.
The D6 would occasionally start and insist on running the engine for a journey to ensure the DPF regen was taken care of. I assume it did the same for circulation reasons. Of course the "standing still" issues dont apply - the car is in use, just not the ICE bit.
@otherclive - when I had the PHEV I found myself driving as efficiently as I could to eek every mile out of the battery, to maximise my range and minimise costs. I found myself wishing for a bigger battery, and a bit more performance from the electric motor. The car was close to 300hp all in (about 75 from the electric bit) and could achieve the 0-60 sprint in sub 6 seconds, it was an incredible machine. Along side the normal "hybrid " mode and all electric "pure" mode, it had a "power" mode that would tweak the throttle response and run both motors in parallel for maximum performance. But I drove it around like miss Daisy to keep it in electric mode. For 90% of my journeys I could do them on all electric (about 25 miles of real world range).
It was at that point I realised that what I really wanted was not a bigger battery hybrid, but a full BEV. I didn't want to use the ICE, and most of the time didn't need to - but did want the performance. So a BEV seemed the obvious choice. Start stop is no longer a thing I have to worry about
(or gears, or oil temps, levels, coolant temps, and in deed just filling up).