Thing is that's overly simple thinking IMO, throwing off the cultural legacy literally means replacing it with something else. Culture has a legacy, what comes before, and it's literally impossible to not have one. So that Mohawk is replacing a "normal" haircut, replacing a "normal" culture. There is nothing ironic about showing your child that it's ok to choose something outside the mainstream normal culture, especially if you have done so. It's the whole point. The Mohawk said and meant "I reject your culture and choose my own", it would be ironic to have chosen that and then teach your kid to be in the mainstream culture.