The intrigue in 'The Wrong Man Based on a True Story' lies in the human aspect. Here is a man whose life is turned upside down through no fault of his own. We are drawn into his journey of trying to prove his innocence. The story may also have elements of mystery, like how the wrong accusation came about in the first place. It could be a story of perseverance, of a man not giving up in the face of false accusations, which makes it very engaging.
It's interesting because it likely shows the flaws in the justice system. When an innocent man is wrongly accused, as in 'The Wrong Man Based on a True Story', we can see how easily things can go wrong. The story might also have interesting characters, like the man himself who has to fight against all odds, and the people who either believe in his innocence or are determined to see him convicted.
The fact that it's based on a true story makes it interesting. We get to see a real - life drama unfold in a fictionalized way. It makes us wonder how such a miscarriage of justice could happen and how the person coped with it.