Is there a neutral relationship between 'It's conceivable that some of these allegations are true, and there's no harm in checking them out, as long as the decedent's family agrees to participate.' and 'None  of the allegations are true.', lacking direct logical ties?
It's conceivable that some of these allegations are true, and there's no harm in checking them out, as long as the decedent's family agrees to participate.###None  of the allegations are true.