I call Bullshit on that letter. The signatories to that letter most certainly do not speak for me and quite clearly their only concern is about criticism for Israel which, if anything the BBC doesn't criticise enough, but for the record this Jew reckons they do a fairly balanced job of.
I also disagree with the people who seem to think the Beeb is wildly pro-Israel somehow. It doesn't shy away from reporting on the wrongs Israel does, but producing articles and pieces about life for Israelis on the current situation, or Israeli hostage families does not equal being uncritical of Israel.
I'm not Jewish, so I can't speak in those terms, but I sort of broadly agree with you, although would like to expand on that.
I sort of agree that the Beeb isn't wildly pro-Israel - at least not wildly, and perhaps not always intentionally, although as the state broadcaster it's arguably the role of the BBC to broadcast propaganda supporting the British government's foreign policies/international interests.
As such, the BBC has broadcast politician interviews/statements, the previous and current government have all parroted that Israel has a right to defend itself - which, of course, it has - but they've repeated and repeated that sentiment despite Israel clearly going above and beyond 'defending itself' into the realms of committing war crimes and genocide.
To that extent, the BBC can't be blamed for any bias voiced or supported by our political leaders (or then-opposition), they're simply doing their job, reporting what's been said, reporting policy and politicians reactions to events.
I think other issues that can give rise to (unintentional) bias in overall coverage include the varying levels of English language abilities, in that * sweeping generalisation * Israeli interviewees seem to be relatively more fluent and articulate in English.
The language barrier can lead to perpetuating the Othering of Palestinians, the us and them, from the perspective of a British audience.
And that also brings me to a related point, which is how the Palestinian perspective that is intended to provide balance to an Israeli perspective offered in the same bulletin, often isn't an actual Palestinian person's perspective, but it's a Palestinian perspective as filtered through the words of an interpreter or filtered through the opinions of a British/ European/American spokesperson from an NGO/humanitarian agency or talking head from a think tank.
And there's another very subtle way of showing a bias that sometimes occurs.
Listen carefully. Sometimes a report on the news will contain language along the lines of: The Israeli authorities say blah blah blah. Hamas/the Palestinian authorities claim blah blah blah.
I think I might've mentioned that point on urban before. As a former journalist, (including BBC and Al Jazeera English), I can understand the urge to vary the language, dating back to English classes in school where we're taught not to be too repetitive, to avoid too much 'He said, she said' so some people like to switch it up, especially if they have a print journalism/features background.
The risk, though, is to inject a value judgement, because 's/he said' is more like a statement of fact, the journalist is relaying what they said, whereas 's/he claims' is arguably injecting an element of disbelief or a disclaimer, ie we don't necessarily believe this, we haven't been able to independently verify it, we're just relaying this information that they told us, but take it with a pinch of salt.
(I also have a background as a former legal editor so have a thing about details, the nuances and connotations.)
It's arguable that if the journalists are wanting to switch up the language so as not to be too repetitive, it probably works both ways. Tbh, if the audience listens out for this and picks up on it, like I said it's generally 'Israel says...' and 'Hamas claims' rather than the other way around.
So in a very subtle way it presents the Israeli authorities as arbiters of the truth and facts, and the Palestinians as questionable sources of unverified information.
I think it would be useful for there to be an academic study of reporting much like the one from Glasgow University years ago, Bad News from Israel by Greg Philo et al, which iirc found that there was inadvertent bias towards Israeli perspectives.