There are many in Israel who don't believe Benjamin Netanyahu wants a new hostage deal, and they're not just the families of those still being held in Gaza.

Such is the scepticism with which Israel's prime minister is now regarded, a growing number of Israelis are starting to think their embattled leader wants to string out the fighting as long as possible as a means to remain in office. Having spent much of Monday blaming Hamas for collapsing ceasefire talks, the group's dramatic acceptance of a ceasefire proposal last night certainly threw the Israeli government.

War latest: 20 militants killed as Israel takes partial control of crossing Whether or not Hamas has agreed to the same Israeli proposal that Antony Blinken described as "generous" only a few days ago however, is unclear. The Israeli government's initial response, late last night, was to claim it was a different proposal and something Israel had not agreed to.

There are parties to these negotiations who will know if that is true or not: The CIA Director Bill Burns has spent much time in the Middle East over recent months and has been criss-crossing between Cairo, Doha and Tel Aviv over the past few days. He will be fully across each word of any proposal and how the language has shifted; he will know who is acting in good faith, and if either side isn't.

The fact the Israeli war cabinet has agreed to send a negotiating team to Cairo today, something they didn't do last week, shows they are taking this seriously, but the parallel move to send IDF troops into Rafah complicates matters. There are two opposing schools of thought here; one says that Netanyahu's decision to keep fighting and attack Rafah shows he doesn't want to halt the war, knowing that a ceasefire could very likely spell the end of his government if its right-wing allies resign in protest.

The other view is that Netanyahu has upped the military pressure on Hamas to achieve a hostage deal, just at the moment negotiations are reaching a decisive point. To suggest Netanyahu is deliberately blocking a new deal "is like Hitler indicting Churchill" a source close to the prime minister texted me on Monday night.

When I asked if Hamas was "playing the PM.