There are many questions here on how to address someone by their title or current status. 

What should one do in the case they are addressed by a title they do not have?

Some example of this:

A student submitting a paper and the editor emailing using the Professor/Dr. title.
A PhD in a research lab (not university) being invited for a talk and a letter stating "Dear Professor..."
A researcher (non PhD) being referred to as Dr.

If this is too broad, the question can be edited to just one situation.

In this type of case, should one reply and directly address the title?