I don't think Iran will insist on Hamas as much as it will on Hezbollah, but without a holistic resolution, there will always be the option of one conflict bleeding into the other. So from an Iranian perspective, it won't be a resolution if that isnt ruled out.
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Oh, yeah, I'm thinking specifically of Hezbollah here. Hamas was always more problematic for Iran anyway.
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Absolutely, but even there any agreement would need to make Iranians believe that Israel won't attack Tehran because of the next Hamas attack. Its easier done than with Hezbollah, but still implicitly in the room.

Once you link conflicts, its not that easy to de-link them.
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