Should I rename package after Android app name change?

I have an Android app.

I have changed the app's name from appname1 to appname2. I would like to know if I should also change my package name from com.myname.appname1 to com.myname.appname2 to reflect the app name change?

The advantage of also changing the package name is that everything is consistent. But the disadvantage is that Git will treat such renaming of package as deletion and addition of files; and this makes looking at changes difficult.

What do you think?