To be honest the RN seems to have been punctilious about people getting money.
For example with prize-money, if we are to believe O'Brian, the crew would share its portion although Admiral, captain and officers took a larger cut, and the agents/owners of the seized ship had the right to challenge the validity of seizure in that quaint, fierce but effective court known as Divorce, probate and Admiralty, successor to the old Admiralty courts.
The sale of effects fell outside this system, but if there were widespread corruption and relatives were deprived, I have to hear about it.
If the masthead auction was fundamentally corrupt, why bother to hold it all. Why not simply steal his effects?