Operating under a different name than registered

I have recently incorporated for a client. He was operating as a sole trader, involved with fundraising for charity. 

The name he was using involved the word "Charity" which we were not able to use in the business name. 

He has therefore used a similar name for his registered company, but without the word "Charity". 

His website, promotional material etc are all branded with the previous name, which involves "Charity". 

Does he need to completely rebrand, set up a new website etc with the registered business name? I am almost certain the answer is yes but just thought I would double check, as he is not keen to do so...

Thank you.