Soft power influence out and defensive action against influence in are two different ball games. Again, I'm not denying that the Chinese gov't is worried about a general miasmic incursion of foreign values, just that that's relatively low on their list of concerns. I think it once was a bigger deal to them, but they've since realized that it's not such a danger.
Thing number one is preventing their own citizens from communicating and organizing among themselves. Thing number two is the international soft-power push, mostly aimed at muddying the waters of public discourse enough that they are no longer the unquestionable bad guy (the goal here is simply to damp down international criticism). Preventing the spread of "Western democratic values" and "universal human rights" in China is a concern, but probably doesn't make third place, or even fourth.