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.