If the process is consciously controlled, it is not internal but driven by our conscious awareness. We are not just consciously aware of what is going on - we are consciously driving the process.
You're just avoiding the point. In order to "drive the process" we need to decide what we want to do - and in order to decide that, there has to be a process
inside us that results in decisions.
How do we know what we want to do? What process results in our conscious choices?
ETA:-
Your whole "argument" has been based on the notion that we are not "just" biological machines and that the (probably) deterministic mechanisms of the brain couldn't result in our experience of "free will". So, in the physical case, you are considering the internal workings of our minds.
Unless you can describe the internal workings of your proposed non-material soul, you are not making a fair comparison. You need to define how "free will" actually works in your proposal - otherwise, you're just making a trite claim that "it's magic, innit".