That, in my view, is a far too reductionist view of the problem. The problem isn't just about measurement, it's about human behavior. Unlike particles, humans will actively seek to exploit any control system you've set up. This problem goes much deeper than just not being able to measure "peace, love, puppies" well. There's a similar adage called Campbell's law [0] that I think captures this better than the classic formulation of Goodhart's law:
The more any quantitative social indicator is used for social decision-making, the more subject it will be to corruption pressures and the more apt it will be to distort and corrupt the social processes it is intended to monitor.
The mitigants proposed (regularization, early stopping) address this indirectly at best and at worst may introduce new quirks that can be exploited through undesired behavior.