All it implies is that the stove is off. It does not state or imply that it’s ok to touch the burners.
I know what you are getting at, I understand your point, but it’s logically wrong. It’s nothing but an assumption you are making.
Example:
If you don’t study, you won’t pass yor course.
If you study... doesn’t mean you will pass your course.
It’s propositional logic, and the whole point of it is to rid of ambiguity or wrong assumptions in language.
Where i come from, a looooong time ago, laws were written in a messy way in the fashion of “if you don’t steal, you won’t go to jail”. That doesn’t imply in any way that if you do steal, you will go to jail, but I do understand how it could lead to confusion.