To be fair, sensors have the luxury of time that our eyes don’t have. See astrophotography for an example of “could barely see it but the sensor worked it out.”
When making photos in low light, I always try to lean my phone against something (a bench, a lamppost, a tree, a building) to let the longer exposure be sharper.
Why the requirement? The phone already has accelerometers, doesn't it?
In any case, less hake should still be easier for the phone to deal with. Those algorithms aren't flawless.
Even when you stabilize the footage afterwards (digitally, not by stabilizing the sensor), there will be motion blur due to the lower shutter speed.