^I agree. It'll be harder to hide him from the media when he is a little older, but growing up I am not surprised Kuu would want to keep him safe from the media, it's not a pressure he needs at such an age.
She probably just wants the best life for him possible, and to be able to choose his own path, not be hounded for being her son.
There was a very cute bit in the 'Color the Color' making of, you know that video 'The REAL Koda Kumi' I think it was, where you see his head and Koda Kumi gives him a silly kiss or like a fake raspberry. That was cute.
Also shows that she takes him to work and has someone look after him nearby while she has to work and practise.