Well, at the moment I wouldn't risk visiting the COP, but before when they were more reasonable, your circumstances mattered. For secondary applicants who weren't persecuted, there is often very little issue in visiting the COP. Just because you're, say, married to or the child of the primary, it doesn't mean you were/are at risk. Secondly, even if you're the primary, you can be persecuted as a resident, but as a visitor, you might not. It's also possible that the conditions have changed, and persecution is no longer a problem, so the primary applicant can then go.
In the end, it is the evaluation of these circumstances, and your ability to explain and document your reasons for going, that will determine your chance of success at naturalization. Again, this was before. Now, I'd be a lot more careful.
