Governments that have a reason to be concerned about Tor are already concerned about Tor. And governments that are concerned about Tor won't be more or less concerned because of its mission statement.
/edit: We had a massshooting in germany recently. We currently have a debate about police tool against the "dark web" as a source of firearms. Before that the goverment was not concerned about tor at all. After that it was very. The narrative about tor changed only slightly, and the governments stance changed rapidly. And the missions statment is a very strong source of narrative.
Goverments are not either good (supporting Freedom) or evil (supressing it's people), but do both things to some extend. It's not like Singapore wants a little freedom as possible for it's citizens. It just has very un-western values. If it though that tor does not get to much in the way it won't do much. OTOH German goverment might attac tor.
I would be surprised if the Chinese government cared about how Tor was being marketed. The change might help with propaganda but it won't change internal policy. What they care about is how it is actually used in China, and I'm sure they understand this better than anyone else except for perhaps the Tor Project.