If I use my rational model to give instructions to someone who blindly follows, lacking his own model, and he achieves his goal, I would not say he succeeded arationally. The fact that the agent did not contain the rationality but only received the conclusions does not mean the rationality was not important to the process.
If I extend the situation, so that I use my rational model to describe simple rules that produce success in a broad class of situations, and an agent lacking a model succeed by following my rules, this still is not arational. The agent is still using my rationality indirectly.
If I take the simple rules I derived from my rational model, and design a device to mechanically follow the rules, the device will work, not arationally, but indirectly rationally. This is your control system. It does not contain a model, it just blindly follows rules that were produced by rationality.
If I use my rational model to give instructions to someone who blindly follows, lacking his own model, and he achieves his goal, I would not say he succeeded arationally. The fact that the agent did not contain the rationality but only received the conclusions does not mean the rationality was not important to the process.
If I extend the situation, so that I use my rational model to describe simple rules that produce success in a broad class of situations, and an agent lacking a model succeed by following my rules, this still is not arational. The agent is still using my rationality indirectly.
If I take the simple rules I derived from my rational model, and design a device to mechanically follow the rules, the device will work, not arationally, but indirectly rationally. This is your control system. It does not contain a model, it just blindly follows rules that were produced by rationality.