Realistically, the flashiest stuff seems to be the probability manipulation and information gathering, but that's just surface level. What I've always found more interesting is the subtle psychological influence it grants. The 'Sherlock Scan' trope, right? Where the character just stares at someone and a flood of social connections, micro-expressions, and likely past actions just... overlays their vision. That's not just logic, it's a form of low-key psychic intrusion, reading people like open books without them knowing.
But the true 'power' that emerges isn't the system itself—it's the paranoia. The narrative almost always forces the user to question every deduction. Is the system showing them the truth, or a manufactured truth? Are they solving a mystery or being led down a path? The power becomes a curse of overthinking, of seeing patterns that might not exist, turning every social interaction into a puzzle box. It's less about being right and more about the unbearable weight of potentially being wrong with absolute confidence.