I lose track when we get onto numerical suffixes (suffices?) for kings.
Is this Richard Crookback? (So-called).
If so then his rep was mostly a political invention AFAIK, fostered most notably by ol' Bill Shakespeare who wanted to put the current regime (Bess) in a good light by painting previous ones in a very bad light.
During my visit to Warwick Castle the guide said that, IIRC, current "theory" is that it probably was Dicky's fault (or at least *cough* suggested by him to people who who were proficient at tidying up extraneous claimants to the throne) and that they were strangled.