I believe that by taking a PWM signal and passing it through a low-pass filter, one ends up with an output voltage proportional to the pulse width of the input signal, right?
This only works if the input PWM signal is an active off signal, not a passive signal. In other words, the PWM cannot be a switched on/off supply, it must a supply that sinks current at 0 V in order to pull the voltage down to zero. This arrangement is necessarily going to be feeding power in to the filter during the on part of the cycle and then draining power from the filter during the off part of the cycle. Essentially an RC filter is a power consumer. Since it is a power consumer it should work with signal levels of power rather than large levels of power.
Why do we not see more buck converters that work in this way? Surely it's much simpler than using an inductor as an energy storage device?
Because a buck converter is a power converter. It is meant to take input power and transform it to output power with minimal losses. But as we see above a low pass filter is a power consumer, not a power converter.
Now you could arrange for the load side of the low pass filter to drain the power out of the filter rather than the source side, but then you would need regulation, and almost immediately you have a regular buck converter. A buck converter is actually a suitably controlled low pass filter with a PWM input. You have just reinvented the buck converter.