Afraid lip lift won't lift upper lip enough for desired smile. Is it possible to achieve a noticeably "bigger" smile? (Photos)

My top lip covers much of my upper teeth and creates a "small" looking smile in proportion to the rest of my face. I've always believed that a lip lift would be my fix for this issue, however, in many before and after photos of people smiling with teeth, it looks like the overall shape of their smile has not changed at all, and my whole reasoning for this procedure is so that more of my gums show when I smile. Is it possible to achieve a noticeably "bigger" smile?