you are right if we think or do something according to spirituality then names or living style does not matter much and we can give many justifications like you just gave above on this topic.
this topic is not about measuring our inner spirituality, I think. they are talking about not leaving our Punjabi or historical name behind and follow easy path just to make it easier for others to pronounce.
according to me, spirituality teach us to be good to each other and have a freedom of choose our names and lifestyle and still be proud of what you are instead of being something you are not.