But the implication of physically controlled determinism does not reflect reality. You can't shoehorn reality to fit in with the limitations of presuming that everything is entirely the consequence endless chains of physically predefined cause and effect.
The reality is that human creativity, imagination and free thought implies a form of determinism which does not have its origins in the endless chains of uncontrollable physical reactions, but in a non physical source which gives us the conscious freedom we all enjoy.
We cannot control determinism, physically, mentally, slowly, quickly or anyhowly, the idea makes no sense. Determinism is a principal of logic. Do you think there would be physically controlled arithmetic or algebra ?
Human creativity, imagination and free thought are not forms of determinism, they are phenomena of nature and their existence in themselves do not provide evidence that nature is not deterministic. If you can come up with an example of, say, a choice you made that was not made for any reason without being random then you might might have a case against the deterministic account of mind. You have never done that, and you cannot ever do that, because the proposition is inherently self-contradictory : 'for no reason'
means random. This is the simple logic for which you have no answer other than repeated incredulity. Simply claiming a soul as the engine of decision making does not eliminate those endless chains of cause and effect that you can't seem to get your head round.