You don't see "Operation Saudi Freedom" coming out of China, do you?

No, but too be fair, the reasons for that are much, much more complicated than just "China isn't hypocritical on human rights." And with the increased engagement we're seeing in Africa as China tries to secure strategic interests there, I personally think it's really only a matter of time. Case in point: China recently legalized overseas anti-terrorism operations for its military (as usual with things they don't want the international community to notice, they did it over Christmas break).

There is NO TALK of China's human rights superiority

This is really not true. For example, here's a Xinhua article from like two days ago about how China's human rights and rule of law situation is continuously improving (despite the fact that most experts would say if anything the opposite is true). State media talks about how great China's situation is all the time. You're right that it's rare anyone says directly "human rights in China are better than the US," but when you put an article like the one I linked next to the myriad state media articles about bad human rights in the US, is there actually any practical difference? They just do it this way to avoid being accused of lying, but if you're constantly saying "our human rights situation is great and getting better, and by the way America sucks" the message being sent is exactly the same.

NO TALK of opinions on the human rights conditions of other nations

Reporting facts selectively to promote the narrative you want is no different from pushing an opinion. China's state media may be less direct about its hypocrisy than the US is, but I don't think that really makes it any less hypocritical. It's just harder to point to a specific sentence because they draw implied comparisons rather than straight-up saying "we're better."

If you watch a lot of Chinese TV news, then surely you've heard the old joke about CCTV's nightly news show:

前十分钟,领导很忙;中间十分,人民很好;最后十分,外国很乱

(Translation for those who can't read it: The first ten minutes are about how China's leaders are very busy, the next ten minutes are about how happy China's people are, and the final ten minutes are about how foreign countries are chaotic. The joke—and it's really quite accurate—is that nearly every episode of this news program that's been on every weeknight for decades follows this basic formula).

That's the way state media does it. It's not any less hypocritical than the US. It's just as hypocritical, but smarter by introducing some level of plausible deniability while still constantly hammering home the message that foreign countries are a mess and China is great.