Exactly. All human systems are sociotechnical, and people within systems respond differently when they know that they're being monitored, and even more differently when they know that the monitors know that they know they're being monitored.
Exact models are somewhere between impossible and implausibly expensive for a non-trivial system. Approximate or die.
It does not help you having a perfect and exact rule from initial conditions to future prediction... if you cannot have a complete and exact description of your initial conditions.
We might never be able to get this exact description of the internal state of a brain, this is what makes perfect prediction impossible.
Exact models are somewhere between impossible and implausibly expensive for a non-trivial system. Approximate or die.