Putin’s crimes were committed in Ukraine, which is a signatory (though not a party to it [yet]).

The "State of Palestine" (the official name in this context) is a signatory to the ICC, and is the location of the committed crimes. I guess you could technically make an argument that despite Sderot et al being an occupation under international law, because they are in the actual control of Israel which isn't a signatory then crimes committed there couldn't be prosecuted by the ICC. Given that the only party who would try to escape arrest for crimes in those areas are Hamas leadership, I doubt that's what Israel wants. Also, I doubt Hamas is willing to legally state any part of Palestine is "Israel", particularly for a relatively non-existential threat like an arrest warrant.