In my opinion, it’s because of the inherent flexibility of what an inverter drive brings to the table. Unlike a simple contactor that is just on or off, a power converter is more akin to a generator in that it produces power on the output side while at the same time consumes it on the input side; input power is the “fuel” for that generator. As such, it can, in theory and in practice, consume current at a different rate than the output side uses it (note that I said current, not power). For example all VFDs are inherently capable of consuming power from a single phase input and producing 3 phase on the output. In that process, the current on the input side will, compared to the motor current, increase by the square root of 3, so 1.732x the output current. If you had sized the input conductors based solely on the motor nameplate HP, they would in fact be a fire / safety risk. So rather that rely on the installer to understand all of this, the NEC simply requires that the input conductors be sized to the input current rating of the VFD. This effectively reduces the risk of misunderstanding the technology.
I teach classes in VFD technology and believe me when I say that brobably 50% or more of the electricians and technicians that attend my classes come in not knowing that one issue, and that is just one issue that can mess people up. These are quite often very smart experienced electricians and technicians, but if they have never been taught something, it’s not as intuitive as sizing a switch.