What I wrote is correct but does not address the traditional Turing Machine halting problem or solve it.

The traditional halting problem is theoretical, i.e., not close to anything practical, and so is what I wrote.

And I did not claim that what I wrote is a contribution to "complexity theory".

The Turing Machine Halting Problem has long been standard computer science; from that it's common to conclude we can't tell if a program will stop. But that conclusion needs some theoretical assumptions, and my version is simpler and shows that we have to be careful drawing conclusions from the standard treatment.