Exactly on the mark with your cold example. Cold is not a separate thing from heat, it's just a place on the heat continuum from "Really Hot" to "Really Cold".
That is the basic everyday interpretation. But in fact it describes something that does not exist. There is no cold, there is just "no heat" to "lots of heat"
I claimed that inaction is a choice, and for it to be a choice you have to be aware of what your options are.
a simple google search on inaction gives me this: lack of action where some is expected or appropriate.
expected or appropriate would imply that awareness is required and that choosing that to not do anything is the same as inaction.
Now take an example of inaction. The AI controls the moving part still, but now its sensor is working. A hacker injects code that forces the machine part to close on someone tied to the floor. The AI has the ability to stop the process if it self-destructs in some way, such as locking a motor or overloading its power supply.
The action is self-destruction to prevent harm. The inaction is simply not doing that.
The option is between option 1: Self-destruct and option 2:Allow the part to move and injure human
That is a choice.
There is always a choice if there is awareness of a situation, even if that is to do nothing.
An industrial machine has safety sensors which stops the machine when interrupted, They are coded for an active signal so they basically send a continuous 'OK' and if they break, the machine stops.
That is the same as the first part of your first example.
With AI, when a human manually inputs "OK, move that part" we would get 2 kinds of AI.
One AI would move the part because all available information tells it that it is okay to resume work.
The second type of AI is the kind of AI that goes mad in movies and wants to put humans in isolation cells with continuous supply of nutrients because the chance of harm is lowest that way.