All those tools have randomization so they don't produce the exact same image for the exact same prompt.
The value of an image produced by AI is very low because the cost to produce it is very low.
No point in committing federal fraud by falsely claim you made them.
> no one can dispute that
Of course I can dispute that.
I can even prove you didn't make the AI image by asking you to produce a work of similar quality under supervision.
If all you can do is type AI prompts into a computer, good luck producing an actual painting.