She really does occasionally want to beat her head into the wall sometimes, and likely would if she could get any privacy with which to do so.

She does not. Her photo shoots with Shiroko aside, she is not precisely a fan of photography and would prefer not to be photographed. She probably just has her old student ID photo and that's all.

That photo likely leads to the above desire to beat her head into a wall.

Do you have any headcanon on Suguru that doesn't come into play much?