I think it's time for Israel to stop the PR game.
The minds of the public are already set.
There aren't really any "undecided voters" around who's opinion will change when a certain video gets explained or not.
Therefore, Israel should just ignore any media, stop taking interviews, turn off Internet Gaza, and journalists in northern Gaza should be expelled.
The world will cry a bit, but eventually stop (when was the last time a newspaper reported that Russia doesn't allow the press watching their front or battles with Ukraine).
Those who are pro-Israel will stay that way and those who hate will continue hating regardless of the effort.