That wing-app probably really could read mind, and chose to show those messages to mess with the girls and trick them into showing more intimate thoughts :))
I'm late to the discussion, but I want to chime in that uncontrolable automatic mindreading would be super distracting and stressing, with all the stuffs going through one's head everyday, be it mundane, trivial, boring, useful, useless, deranged or otherwise unsavoury (I'd pity any hapless telepath who couldn't turn the power off in my vincinity), multiplied by how many people the telepath must be reading.
It could get worse if those thoughts' subject is the telepath themself, like the MC in Mousou Telepathy, who must endure all the erotic imaginations from the classmate who has a crush on her, everyday :))