It remains unsold despite the direction for sale in his will, according to the latest Auckland High Court judgment.
Hoeberechts contends her brother Adrian Sprott failed to list the property "within a reasonable time".
And further claimed he continued to benefit from his use of the Coombes Rd property for his personal and business use.
She sought discovery of documents for the case.
Her two siblings would call this a wide-ranging "fishing expedition".
In the Auckland High Court decision from late last year, Associate Judge Peter John Andrew said there was clearly a "high level of mistrust" between them.
That simply reinforced the need to ensure Hoeberechts had full and proper access to the documents, to "ensure that she is not denied her right to hold Adrian to account".
"Although the facts are yet to be assessed and determined at trial, on the face of the pleadings, there are very real questions as to why the property, some five and a half years after the death of Dr Sprott, has not been sold and provided no income during that time."
There had been "some tentative steps" by parties to resolve the outstanding matters.
Associate Judge Andrew granted Hoeberechts access to documents related to the sale, use and management of the Coombes Rd property, including that related to personal or business use.
"An executor has a duty not to benefit personally from an estate," he said.
He also found that the bank statements for Dr Sprott's estate should be discovered.
The matter remains ongoing in court and is set down to be heard again in March.
