Yes they are, look at the derandomization program in computational complexity, or if you're slightly more forgiving with your definition of logic, then look at mixed strategies and Monte-Carlo algorithms.
Each series of words and arguments is equivalent because no understanding actually exists.
There is no mechanism behind picking one series of words over the other because a random number generator is behind anything.
You can’t trust such a system to produce any logical outcome, therefore free will (embodied understanding and decisions etc.) is required to conclude that free will doesn’t exist :)
Not true in practice, not enough energy on the universe to algorithmically derive everything. Also, someone with understanding and will would have to set up the program :)
Well then, how do you suppose the human brain does it ? Magic ? The answer of course is: it's heuristics all the way down.
But I don't think we can agree on anything here, I am a materialist and you seem to be a dualist. You may believe in some kind of god(s), (Otherwise how could will-ful humans emerge from will-less matter ?) and I don't intend to debate this here.
My worldview is that our brains exist in a material universe that is governed by physical rules, and until I see proof of the existence of some kind of soul that is somehow able to make decisions detached from our material condition (culture, health, environment, past history), I think my position is the most reasonable one.