I think Shell quoted VPD as being 1-2 cetane points higher than normal diesel (so around 53) whereas BP Ultimate diesel is rated around 55. Normal diesel is around 51. Higher cetane numbers mean the fuel burns more readily and therefore more smoothly. VPD is also advertised as a greener fuel therefore the corresponding drop in soot levels. I think the base fuel BP Ultimate is developed from is more dense, seems to be higher mpg from that as opposed to VPD.
I always try to use VPD in the Volvo for its low soot properties, mainly due to the DPF. With less soot being produced the regeneration takes place less often, which means less of the mandated up to 7% bio matter ending up in the sump. Not bothered about claimed performance increases
Rising oil levels are a risk with DPFs and biodiesel due to the increased amounts of fuel injected during a regeneration. The bio part of the fuel doesn't burn like diesel and ends up being washed into the sump. On a diesel engine this may cause engine self-fuelling which can ultimately result in engine failure due to there being no way to stop the engine. Less of a
problem with a manual car, just hold it on the brakes and let the clutch out in gear so it stalls. Bigger issue with an auto though...
We are forced to fit DPFs to reduce visible emissions, then also forced to use bio-based fuels under requirements of the renewable transport fuel obligation (RTFO), and then end up in a situation where consumers are potentially mis-sold DPF-equipped vehicles which are not suitable for their needs. DPF diesel car for short journeys to the shops? Err no.... Engine doesn't get hot enough or run for long enough to trigger a regeneration, first thing the driver knows is a DPF-full message on the dashboard. Which either requires a hasty trip to a section of dualler for 20-30 mins to get the regen working, or an expensive trip to the dealer for a forced regen.

Would've been better to get the small petrol version instead.
The DPF vs biodiesel issue affects a wide selection of manufacturers, seems like a DPF-delete with mapping to remove the light is the best way to deal with the result.