"The account from Sir Edward Heath would have been as important as other evidence gathered as part of the wider investigation", it adds.
They include the alleged rape of an 11-year-old boy, indecent assault of a 10-year-old boy and the indecent assault of a 15-year-old boy during three "paid sexual encounters", and are said to have occurred between 1961 and 1992 in London, Kent, Sussex, the Channel Islands and Wiltshire.
The probe was instantly slammed by friends of Heath, who claimed that its report was "unsatisfactory" because it ignores the question of whether or not the claims are actually true.
The disclosures made against Sir Edward related to alleged offences of child sexual abuse, physical abuse and sexual abuse against an adult. He was one of the people who was around in our lives.
In a statement, Heath's former cabinet secretary, Lord Armstrong of Ilminster, and chairman of the Sir Edward Heath Charitable Foundation, Lord Hunt of Wirral, said the report neither justifies or dispels the "the cloud of suspicion".
"In line with the constituted powers of the inquiry, Wiltshire Police will, on receipt of further Section 21 notices, make available to IICSA any further material that it deems relevant to its terms of reference", Wiltshire Police said. A statement earlier this year said: "A panel of independent experts outside of policing are providing ongoing scrutiny of the investigation to ensure its proportionality and justification".
'This could be in the form of an independent review by a retired judge, with unrestricted access to all the evidence collected by the Wiltshire Police.
The most notable included a woman referred to as Lucy X, who had previously made claims of satanic abuse in Tidworth in 1989 which were later dismissed as "nonsense". The police have a duty to investigate and go where the evidence takes us.
Police stressed that they could not pass judgment on whether Heath, who died in 2005, was guilty or not, nor whether there would have been a likely prospect of successfully prosecuting him.
Lord Macdonald, the country's former top prosecutor, said police had been trying to "cover their backs" at the expense of a man who can't defend himself.
The inquiry has proven controversial ever since it began when a senior police officer made a television appeal outside Sir Edward's former stately home, Arundells, urging potential victims to come forward.
Heath's reputation should not be left in limbo, his former colleagues said. Well, everyone knows that during his lifetime, and as a single man, Sir Edward was the subject of sexual innuendo and gossip.
The police reports, however, will be considered by the UK's Independent Inquiry into Child Sexual Abuse.