In a decision handed down on Tuesday, coroner Elisabeth Armitage said it was premature and unnecessary for her to limit her investigation.
The inquest in Alice Springs is exploring 54 issues related to the life of Kumanjayi Walker and the actions of police before and after he was killed.
The 19-year-old Warlpiri man died after Constable Zachary Rolfe shot him three times during an arrest attempt in Yuendumu, northwest of Alice Springs on November 9, 2019.
Const Rolfe was later charged with murder but was acquitted after a Supreme Court trial.
In another ruling on Tuesday, Ms Armitage said text messages recovered from Const Rolfe's phone could be relevant to her inquiry.
Her decisions came after counsel for Const Rolfe objected to 13 of the questions being explored on the basis of relevance.
David Edwardson KC said they also had the potential to undermine the not guilty verdict at the officer's murder trial.
But counsel assisting Peggy Dwyer had urged the coroner not to restrict the scope of her inquiry based on the objections of some parties.
She said Ms Armitage could and should rule on specific issues related to particular evidence but should decline to rule in any way on the broader list of issues likely to be considered.
"My submission is that Your Honour should not rule on the scope of the inquest," Dr Dwyer said.
"The act does not require you to and there are good reasons to think that it would inappropriate and premature."
The inquest will resume on Wednesday.
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