PA local income taxes for out-of-state resident?

I worked remotely for an employer located in PA for for less than a month, while residing in Michigan.

 

However both PA state and local taxes are withheld on my W2. 

 

I read in this forum that "Only residents of the local jurisdiction are required to file a local return." I wanted to confirm this is correct. Does this mean I don't have to file a PA local return since my permanent address during the time I worked for the PA employer was MI?