Judged by that criterion, there were many claimants whose titles must have been preferred to Henry's.

There were the daughters of Edward IV.

and the children of George, Duke of Clarence; and their existence may account for Henry's neglect to press his hereditary claim.

But there was a still better reason.

Supposing the Lancastrian case to be valid and the Beauforts to be the true Lancastrian heirs, even so the rightful occupant of the throne was not Henry VII., but his mother, Margaret Beaufort.