Prime Minister Anthony Albanese has tasked a top army figure with testing the veracity of Israel’s claims about the death of an Australian aid worker in Gaza, though the government has not guaranteed the representative will gain access to confidential Israeli information on the incident.

In a muscular move not mirrored by other nations whose citizens were killed, Australia announced it would push for a special adviser, former Air Chief Marshal Mark Binskin, to review the probe into last week’s drone attack that led to the death of Australian Zomi Frankcom.

Binskin’s appointment was announced on the same day Israel said it would pull forces out of the battered city of Khan Younis to prepare for a ground invasion of Hamas stronghold Rafah, and as Foreign Affairs Minister Penny Wong put finishing touches on an important speech to be delivered in Canberra on Tuesday.

Coalition leader Peter Dutton chastised Labor’s approach, claiming the challenge to Israel’s investigations into Frankcom’s death was designed to appease pro-Palestinian Labor MPs and pointing out Israel had taken responsibility for the incident that continued to provoke intense international condemnation.

“We believe at this point that there hasn’t been an adequate explanation for how this has occurred,” Albanese said on ABC.

“What structures will be put in place to ensure that these sorts of incidents can’t occur in the future? There have been almost 200 aid workers [who] have lost their life during the conflict that has occurred between Hamas and Israel, and that is unacceptable.”

Asked if he was “directly challenging [Israel’s] mistaken identification explanation”, Albanese said: “That is something that Mark Binskin will examine and he will have the capacity to do that”.

The prime minister, whose criticisms of Israel’s military actions have sharpened since Frankcom’s death, said it was “a matter for Israel” whether Binskin would be granted clearance to review sensitive military information.