IIRC, "The Car Care Nut"(Toyota Master Tech) on YouTube says that the oil pumps in Toyota engines that require a 0W16, are specifically programmed to operate on 0W16 and we should not use a heavier oil. He also says that Toyota's 10,000 mile OCI is BS and he explains why!
This is generally true for anybody took the time to learn about variable displacement oil pumps whether vane or gerotor type.
These pumps are pcm-controlled and do indeed operate based upon feedback from rpm / speed sensors and oil pressure sensors as well as oil temperature or engine coolant temperature and intake air temperature sensors in order to determine the pumping displacement.
The algorithm used assumes the viscosity that was specified for the vehicle.
The question that came up in this thread was something like... "if that was true then how could this oil pump handle oil at subarctic temperatures and in South Florida type temperatures"
As above the PCM receives multiple sensor inputs and varies it's displacement based upon them but it does assume and its algorithm is programmed for the oil that the engineers specced for the vehicle.
Engineers familiar with these advanced designs will recall that using the wrong viscosity can actually trigger a CEL as the flow that is being measured is different from what the PCM algorithm is expecting and it assuming a fault in the lubrication system.
I suspect that the difference between a 16 weight and a 20 weight would not be enough to throw this off but the difference between a 20 weight and a 40 weight would be much more likely to.
Think of it like fuel trims where the modern automobile has about 25% of ability to fuel trim based upon vastly different conditions such as driving in -20° weather at sea level versus driving in 110° weather at 10,000 ft altitude but based upon sensor feedback and closed loop operation the vehicle is still able to trim a significant enough amount of fuel that the vehicle will run perfectly.
And as I mentioned very early in this thread these equipment and ecu's can be extremely easily programmed for different regions so if a vehicle is programmed for a 0w30 oil in the EU it can just as easily be programmed for a 0w-20 oil in the United States and that is not always just because of Cafe requirements but again often because of differences in fuel chemistry which can impact lubrication properties and things like low speed pre ignition as well as emissions related differences in everything from crankcase ventilation to catalytic converter types to particulate filtration.
These oil pumps are getting closer and closer to this level of sophistication.
And as I said the only way to know the proper oil viscosity to use in the engine is to contact the manufacturer's engineer team and they will be more than happy to give you that advice. I would not spend time asking random people on the internet for their informed, misinformed or uninformed opinions.