Because of the beak that's hanging out the right side of the logo, it adds an offset the horizontal component length of the beak that is outside of the circle to the logo's image. This causes the logo to be off center in the status bar by the horizontal component of the beak. For example, the following length is ~115px:

And the following length is ~140px

All that would need to be done is the image for the logo needs a transparent background added to the left equal in horizontal width to the horizontal component of the beak. That way the center of the circle would be in the center of the image.
An alternative solution would be to hardcode an offset, but I think this is if someone wants to put their own logo there, they would need to remove that offset as well instead of only replacing the logo with their own.
There appears to only be the PNG format of the image in the repo, so, for this to be done properly, the SVG version would be needed from #19.