I understand that some people are more sensitive than me, and they want to feel protected from the things that trigger them. But sometimes they ask things without taking into consideration how their demands would affect those that aren't like them.

In the same way that each one of your (positive) rights is just someone else's obligation, every case of censorship is someone else's lack of freedom. While YouTube is not a state institution (hence they're not morally obligated to cater to anyone's needs, or be a platform for any kind of video), they want to make money, and if their best way to make money is through automatic recommendations, then I'm afraid that YouTube is not for people that don't like automatic recommendations.