I don't think so. Oil pressure isn't vital, film strength and bearing material are. These engines have specially treated crank bearings to retain oil and protect the bearing from restart wear.Regarding the stop-start feature, does the engine have a way to maintain it's oil pressure during these short engine-off cycles?
Bearings are protected by film wedging effects not pressure. When the bearing rotates it generates shearing forces in the oil film. Those shearing forces cause the oil film to form a wedge inside the bearing clearance which keeps the crank journal from touching the bearing. Think speedboat or surfboard on water. This effect is not dependent on oil pressure but on film strength, viscosity and bearing clearance. Stop start equipped engines retain oil in the bearing more effectively than previous designs.
Oil pressure just keeps the oil moving through the bearing at the correct rate to keep the oil cool enough to do its job. Pressure isn't needed for engine restarts, as you will understand as every engine start is at basically zero oil pressure.
Using correct specification and SAE grade is even more important now than in the past. Use the oil specified by Alfa. Period.
Coolant is handled differently. There is an electric pump which keeps the coolant circulating. Turbo engines have had these for decades now to protect turbo bearings from heat soak after shut down. These stop start engines use similar technology.
The software takes inputs from various sources to decide if the engine needs to restart before the driver calls for it by lifting off the brake pedal. It really is genius stuff.