It's easy to see right through this little charade. If you label yourself as "CEO" or some related nonsense, any competent HM will throw your application directly into the garbage.
At least in the U.K. one-person contracting companies are reasonably common. Though I do find the GP suggestion weird.
I work as a contractor in a single-man company because in Poland it's incredibly beneficial to regular employment contract tax wise and 60-80% of polish developers do the same. I don't think I know even one person that would call himself CEO of his 'company', while working as a contractor. It would be... honestly, cringe.
I’m sure it is, but I don’t think it’s really relevant to my comment: working at a “one-person contracting company” makes you an “independent contractor” and absolutely NOT a “CEO”— not even a little close.