They're refusing the proposal, and they believe that the only reason the proposal was offered was to make Israel look bad by ...forcing them to refuse the proposal? As if a good faith effort to collaborate with two other powers in the region for a mutually beneficial ceasefire is an insult to them? As if Israel needs any help looking like the bad guys in this conflict?
It's unlikely that the details will be known before an agreement is reached.
But to your point, what really matters is whether the USA will force Israel to accept the proposal, or if the Israeli population protests harder against Netanyahu (but that's unlikely to reach the required mass).
Netanyahu wants the war to continue and will not accept any deal, unless his hand is forced.
Anyway, Israel was telling people to flee Rafah. My local news says they are probably doing that to pressure Hamas by panicking the Gazan population.
So, no, I don't think Israel will accept the deal.
It is still a show of good faith and progress. Egypt and Qatar would not put forward a deal that didn't at least have a reasonable point of negotiation. So far this is the first I've heard about Hama's making a serious ceasefire proposal.
The point right now is determining what the sticking points are and why. This may not matter to Israel, but it does matter to the larger international community including the USA.
Israel has benefited in this conflict by having good enough diplomatic support to prevent a major escalation in the region. However, it is going to be a lot harder for countries like Egypt and Jordan to continue supporting Israeli security in the region as the counterattack looks more like a genocide. The issue is even becoming a pain point for Biden, who needs this issue to go away before the election.
I don't see Israel changing its mind because of this, but I see the other countries in the region doing so.
I think a ceasefire is going to require Hamas ceding any claim to power over Gaza, I don't see Netanyahu going for anything less. His reign is over the moment the war stops and likely both sides will be facing criminal courts, so I think Hamas is going to have to take the lesser end of the stick in any deal.
Its now just a question of which side gets what for their people before stepping down.