Well, assuming you run the JIT on its own code it could be considered conscious to a tiny degree. It can analyze it's code, but only at a very low level, with no understanding of how it works. Also it can change its own code, but only to improve speed, not to change its functionality.
But, you are right that it is possible to write quite simple self modifying programs that would be conscious with this definition. However, having consciousness without intelligence can't be very useful.
But, you are right that it is possible to write quite simple self modifying programs that would be conscious with this definition. However, having consciousness without intelligence can't be very useful.