No, influence does not go in only one direction. If it did, it wouldn't go
upstream! The TV news broadcasts to us, not the other way around.
In the short term, though, you're mostly right. News media firms program to increase audience engagement. Rachel Maddow didn't particularly enjoy turning her program into all-Trump-all-the-time in mid-2015, but she couldn't really help it. There was a large portion of the cable news audience that couldn't resist the frisson that came from seeing that one guy who had said mean things to people on that one TV show now saying other mean things to other people on the news. These morons would tune into to anything Trump (to some extent, they will still), and as Les Moonves observed it was "damn good" for the bottom line.
It's tempting to assume that the modern news media firm doesn't really care about which direction their product points. The particular cars that crashed don't really matter when the morons just want to see car crashes. We could hypothesize an efficient market and be smug in the sure knowledge that there are no long-term trends. Or, we could pull our heads out of our asses and actually observe the trends.
Maybe USA is so irredeemably racist that China is an easy mark for this sort of media malpractice. Somehow our racism has ignored all of sub-Saharan Africa? And somehow Israel is not only not despised, but is actually celebrated, despite the fact they are every bit as awful to Palestinians as China is to Uighurs? This is a strange reflection of common USA prejudice!
In fact, Israel purchases (often with USA tax money) large quantities of armaments from USA armaments manufacturers. The moment they stopped doing that, or alternatively the moment their rivals seemed likely to purchase even more armaments in hopes of finally destroying them, would be the moment they were seen in a very different light in USA news media. In the long run, every stupid misguided war USA or its proxies fight is preceded by a long run of news media demonization. Maybe that's just a natural thing, but I'm suspicious.