Basically: The stance of the government is much more nuanced than usually appreciated in Germany, much less the world,
What she didn't mention, and that's also part of the nuance, is that Germany basically dropped all support that can be dropped without leaving the Israeli moderates and the left-wing hung out to dry. And not just now, it only took a couple of days or weeks for much support to drop, after it became clear that the Kahanites are using the opportunity to get the genocide they always wanted. Which is, according to Germany's reading, against Israel's self-interest and therefore against Germany's interest. Fascism in general, just for the record, not just Kahanites.
It'd also be a hell of a nightmare for the chancellery to try to override bureaucrats in different ministries saying "well no we shouldn't because there's a not negligible probability that those weapons would be used in a genocide": Those bureaucrats are only doing their duty, following the law, analysing things as they're supposed to. Press would quickly get wind of it and all hell would descend upon the governing coalition. In more ways than one: Press and the people would be talking about topics that the government would rather not have anyone think or talk about loudly, because, well, nuance. You never want nuanced topics to be discussed loudly and heatedly, never ends well.
Switching countries: The same nuance and need for tact comes into play when it comes to not losing the deep ties into Israeli politics and civil society over knee-jerk moralising. There are a fuckton of Israelis out there protesting the government, don't want to lose them over not delivering air defence, they need all the support, moral or otherwise, that they can get. The Israeli left already lost enough Hippie Kibbutzim inhabitants in the September attacks (in case you ever wondered why the Israeli government gives less than a shit about the hostages: They're largely lefties). Artillery shells? Different topic.