Israel says Hamas rejects key elements of US ceasefire plan for Gaza
From the same article:
The United States has said Israel accepted its proposal, but Israel has not publicly said this.
So instead of focusing on what Israel has to say about this proposal, we are asked to focus on what Israel has to say about what Hamas allegedly says on this proposal.
Hamas has exactly the same conflict of interest as Likud: Keeping the war going and creating suffering for "their" side helps drive support from their fellow countrymen who by and large don't like them otherwise, and kind of want to get rid of them.
I won't say that there's a direct similarity but they both have reasons to reject peace proposals and keep the slaughter going, to the detriment of "their side."
Hamas' reason for their attack on October was very likely to blow up the negotiations between Israel and other Arab countries to normalize diplomatic relations. Even if they also wanted the conflict to legitimize themselves in front of Gazans, I doubt Gazans need any more bombs to fall upon their heads to get the message.
I don't think it's impossible for them to tense the cord and try and get more out of the negotiations, but they don't really have anything to gain from extending the hostilities.
Israel is a lot more malicious in their sabotage of the peace process than Hamas is, yes. Like I said, I'm not suggesting an equivalence between the two; Israel is clearly worse. I'm just saying that Hamas also has some of the same twisted incentives in place.
They didn't suddenly murder hundreds of innocent people back in October because they wanted to inflame a sudden spasm of peace and good will. Just because Israel is worse, doesn't mean Hamas is not bad.