I've concluded that Mai is just a weird, confused young girl. Sigh. I take back what I had said previously, since I assumed wrong things regarding her.
I hope she can properly move on, so she might have a better, and healthier friendly relationship with her senpais. Then she might be able to find someone else to love dearly.
And her advice is sound! Just stare back at them and keep it cool. It does work! =)