Keith Seigel told 60 Minutes that he was forced to watch female hostages getting tortured and sexually assaulted during his captivity.
Israel also insists that, as part of such a deal, the mediators should be informed of the hostages' nutritional and health conditions.
Ronen and Orna Neutra urged Israel to prioritize a hostage deal, warning that military pressure risks captives' lives without securing their return.
The government has a responsibility to bring home all hostages, but it is not their top priority.
Hostage families gathered outside Ron Dermer's home, urging him to secure their loved ones' return by Passover amid stalled negotiations.
"The hostages feel now that they could be collateral damage; a terrible feeling, believe me," said Iair Horn.
"Israel is certainly considering the possibility that these protests are a deception tactic by Hamas," an Israeli official said.
Security sources told Reuters on Thursday that Egypt had received positive indications from Israel over a new ceasefire proposal that would include a transitional phase.
The 35-year-old, who has spent over a year in Hamas captivity, suffers from asthma.
The mother of Matan Zangauker accused PM Netanyahu of "tattooing the souls of our loved ones with numbers" like Nazis did during the Holocaust.
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