If you don't care about blame, then why are you blaming? Claiming both sides are responsible is blaming them both. If it's undesirable to do the hard work of learning the details, then it makes sense to admit ignorance. But it doesn't make sense to blame everybody.
The important aspect of this conflict that is being highlighted in this thread are the lies that are being told by the anti-israel propagandists. They have been saying that israel is lying about the manner which Hamas has setup command and control centers in hospitals. As usual, the anti-israel position is false.
The problem with taking the easy route is it permits the lies instead of standing in opposition to them. It's not that I don't sympathize. I do. It can be very uncomfortable to learn that news sources, politicians, academics, and trusted friends are being easily manipulated. Their pity on the Palestinians is being weaponized. Their intelligence, their education, and their good intentions are not protecting them from being exploited. To the contrary it is making it easier to exploit them.
The easy way, the lazy way, to avoid discomfort, to avoid confrontation with friends and political allies, is to avoid the facts and blame everybody. If you are not a target, then you have luxury of avoiding facts to maintain a mindset where your status quo is not challenged.
Be assured that I would stand up for you and yours if/when the majority targets you for defamation and libel. I stand up in opposition to lies told about Islam and Muslims even though they do not seem to be doing the same for me and mine. Long ago, in the 80s and 90s I was speaking out against prejudice of gay and lesbian people in a small suburb if Cincinnati, OH. I am not afraid of losing friends or political allies in order to do what's right. I would rather stand alone or join with small group with principles than take the easy way and follow the crowd in complicity.
When it came to speaking out against anti-gay prejudice I was definitely alone and ostracized. This was long before it was popular to be pro-lgbt+. There are not any other Jewish people in the forum which defend Islam. I have argued against other another Jew to defend Muslims of their honor. I do these these things because they're the right thing to do.
It's not transactional. Even if the Jewish people are abandoned and treated unjustly, those of us with principles will always fight against injustice perpetrated against others.
If I was correct about gay rights, and I am correct about Islam, it's a direct consequence of looking at the facts and ignoring the temptation to follow the crowd. That's why I'm confident that I'm correct about this issue as well. That's why I'm confident that the anti-israel position is wrong. Consistently the anti-israel position avoids the facts and appeals to authority, following the band wagon, the pied piper of propaganda.