People with strong passions on a topic always feel like the moderators are against them. (As you see, I'm not immune to "always" perceptions either!)
I wish we could do something about that—I don't enjoy having so many people, from all sides of every divisive topic, feeling like we're against them when we're not. However, after years of observing this and thinking about it, I came to the conclusion that it's inevitable. The cognitive bias underlying it is just ironclad. We all share this bias, which is why your complaint and the complaint of someone on the opposite side are basically the same.
https://hn.algolia.com/?dateRange=all&page=0&prefix=true&que...
https://hn.algolia.com/?dateRange=all&page=0&prefix=true&que...
It's true that HN has hosted several major threads about Israel/Gaza, but it's also true that many (perhaps a hundred times as many) submissions on the topic have ended up flagged and we haven't turned off the flags. I don't see an "always" in there.
As for Saturdays—that factor is so far from affecting how we moderate HN that I had to puzzle for a bit over what you might mean. Nor does this discussion strike me as one-sided. People wouldn't be disagreeing with each other if it were.
It's some people, but a minority, I'm fairly certain.