Considering that it's the United States and the UK which hold this perception, it's most certainly relevant. They're the ones who can most easily provide the muscle to back up their perception and the rest of the world is left sitting there liked neutered bitches in regards to Israel because they're not willing to face the consequences of standing up to the US and the UK over them, so their different perceptions are the ones which are kind of irrelevant because their perceptions don't lead to policies or actions.
That's kinda my point... the U.S. and the U.K. hold perceptions that are ENTIRELY divorced from the reality of anything Israel does. Netanyahu would literally have to strangle Fareed Zakaria with his own entrails on national television before the U.S. government would even CONSIDER suspending military aid. Less so for the Palestinians; the IDF could (and has) run over whole crowds of protesters with a bulldozer and the State Department would just yawn and ask them to play nice.
However, the US also used to be a strong supporter of South Africa during the apartheid regime until the public outcry of "Hey dude, why the fuck are you supporting this bullshit?" became too much for the government to handle...
When Palestinians make up 16% of the U.S. population and when a typical American is willing to stand in solidarity with -- of all people -- Muslims and foreigners, then the situation might be analogous. Until then, we have an electorate that still isn't entirely sure that all Palestinians aren't terrorists and is already accustomed to the idea that saying anything negative about Israel whatsoever is tantamount to anti-semitism.
If Israel were to be fighting against people who stage mass sit-ins and the like, there's a chance of undercutting the US support and with it the sole impediment against forcing Israel to do something different.
Israel's been doing that in the West Bank for over ten years now and nobody in the "west" seems to have noticed.