Phantom Braking almost assuredly can't be fixed with a single, simple software update. I've seen false-positives described mostly as a world-modelling problem in the AV space and it's like playing whack-a-mole -- as more objects are labelled and detected to expand functionality, more false-positives will be created.
Tesla's system might be worse in this regard because it's trying to do so much whereas competitors focus on a much narrower scope and thus limit the chances of things going wrong. I would hazard a guess that Elon/Tesla thought smoothing these out would be easier and happen more quickly than in reality.
Feels like there is a simple fix to this, have cruise control simply hold the speed and ideally keep you within a lane. Leave the braking to the driver, who should be the one watching at full attention.
Want the car to drive for you more than that? Use FSD..