> I will donate $100 to charity if I made a false accusation

That's honorable but not how accusations work. There is a first level indirect effect of painting somebody in a light that damages the reputation of their work or their person which isn't reversed by a donation or a sorry or anything since retractions/corrections/apologies don't get the same public attention. And there is a broader effect of chilling what people do since they don't want to get falsely accused.

I'd recommend keeping such suspicions to oneself unless there is unrefutable proof, and if there is, then please provide it.