Rejecting opinion-based questions is a specific design and community choice that originates from Chinese.SE's parent site: Stack Overflow.
Stack Overflow was born as a Q&A website for software professionals and enthusiasts with the specific and declared purpose of building a repository of knowledge.
Knowledge is the key term here. An opinion might be informed by knowledge, and transmit knowledge, it might be well-written and contain enough practical information that it translates into actionable knowledge, but this is rare. More often than not an opinion is just that, an opinion.
The typical opinion-based question in programming is:
Can you recommend me an X to do Y?
To build knowledge, you need objective, verifiable, evidence-based answers. If an answer does not meet these criteria, it does not contribute to building knowledge. It contributes to forming opinions, that may make sense to you, in your specific case, according to your specific background, and be complete nonsense to someone else.
So questions that elicit opinion-based answers are not useful to build a repository of knowledge.
But make no mistake, nobody is saying that opinion-based Q&A is useless in absolute. It's simply not a good fit for the Stack Exchange network and its declared mission.
Now, some questions may be worded in such a way that they don't sound opinion-based, but they are hard to answer with facts. So this implies (not necessarily, but frequently) that they are easy to answer with opinions. Then the commonly accepted moderation policy on Stack Exchange sites is to close such questions as opinion-based, for the only reason that they attract opinion-based answers.
Now, the question you linked can be seen as opinion-based exactly because of this. In order to answer "Is learning characters individually first the most common way to go about it?" with facts, you would have to provide references to researches that analyze a statistically significant number of language courses (or similar entities) and draw conclusions about what's the most common way to go about learning characters.
If you do provide such an answer, I will upvote it, encourage others to upvote it, and sing your praises under Mount Olympus with a harp with golden strings.
But the harsh reality is that the majority of answers will not be like that. In fact, you have answers like:
I am a Taiwanese, I think it would be much more difficult to learn the characters individually. Because when you break those common words and phrases apart, the meaning of each single character become more ambiguous. The meaning of each character will be so many more and it will be very confusing.
Answers like this one are devoid of objective value. And as a fellow user of this site, the only thing I can convey by upvoting or downvoting them is whether I have a similar opinion with this person or not. Whereas votes are instead (desperately) needed to make quality content float to the top. But I can't appraise the quality of an opinion.
It follows that I will vote to close opinion-based questions.
Other interesting reads: