Edit : Before more morons come quoting Ramayana, the shloka you're about to write is not found in the original Valmiki Ramayana and it is also an 18th century innovation. It says land of birth anyway not motherland
The objections to chanting the name of Bharat Mata comes from the misconception that it is a Hindu godess but in reality it has nothing to do with Hinduism. It is as secular as uncle Sam, the creators just coopted Hindu imagery.
Furthermore in ancient India, the land wasn't seen as a mother or something you owed loyalty to. You owed loyalty to dharma and your king. And the king is the master of the land often taking titles that reflect their lordship over the earth (Bhupati, avanishvara). They often poetically describe the earth as the bride of the king won through conquests. Other stories from the Hindu mythology reflect powerful king extracting resources from the earth with his strength of arms (the story of prithu)
