Talking about a personal relationship in a song is a bit different to directly linking your work to your boyfriend, because inevitably the lyrics Ayu has always used in her songs have become anonymous to an extent. There is no direct lyric saying "I love you *insert name of Ayu's current boyfriend" but she presents feelings that are inherent to relationships in general... and that's what makes people connect to those lyrics because they are all things that people feel. I'm not so sure if having her boyfriend on the cover would affect that but, despite her wishes to keep her personal life private, the whole cover seems slightly weird to me...
Yeah, maybe she does need a publicity stunt to spark things up again. But perhaps she should have simply reinvigorated her PR on magazines/TV performances instead