I'm not so sure of that, although it migth turn out that way. She uttered some pretty emo words of not wanting to tie people to the inn that was her and the late husband's dream. I wonder if she could have been so superficial that just changing the name would really change anything. I wouldn't want to think so badly of her, but it looked more like she had decided a long time ago to simply take the inn to the grave with herself and not hand it over to anybody. Who knows if the reason is purely sentimental or if she finds it unacceptable that anybody else could ever love the inn like she and her husband did. Normally people should be happy to hand things they built over to their offspring, but now it's deeply complicated by Okami believing she did great injustice to her children and leaving Enishi with the inn would only hurt him further.
Ko was quite a smooth talker in this episode. He must have studied some suitable books while working at the bookstore to accumulate such wisdom... He certainly left Ohana speechless. Jolly good. If the inn is saved and Ohana gets together with Ko, it's going to be a winner ending. I do hope to see some scenes with Ko meeting the other staff before the end, as well.