It's all to do with her album... she's doing it as she doesn't want the fame and wants to prove her music can sell without her being the main feature of the project.
Nah. To be annoyed by it, you'd have to see every performance/interview where she does it, and to do that you'd have to go out of your way to watch. It's pretty easy to avoid if it's not your thing.
The fact that she doesn't show her face and is simply known for her iconic, blonde bob is actually amazing marketing.
Ariana's working this whole 60s theme. Iggy's doing this whole film theme. Sia's got her "get other people to wear my hairstyle" theme. It's consistent and it's cohesive.