Polling puts support for continued military action in Gaza as really high, so it's not like the people who want Netanyahu arrested for domestic crimes universally are aware of and want him punished for his warcrimes. There's an argument that the population will become more aware that what the IDF is doing is bad with a less corrupt and more democratic government that permits more critical press, and therefore deem it unjustifiable and withdraw support, but it's not like everyone instantly changes their mind the moment propaganda is withdrawn.