China has always been insular, and they don't think about space glories that much at the moment. It would take a couple more generations for them to care about something like that.
"Glory" can exist without comparing yourself to others. When they built the three-gorges dam they probably weren't thinking "our dam is better than those American dams". It's just impressive in its own right
They can be working on going to space without constantly bringing out the proverbial measuring tape to compare themselves to the US.
I'm not totally in the loop with the Chinese zeitgeist, so my post was a genuine question. Maybe they are comparing, maybe not. Both seem sensible reactions
The US comparatively does boast a lot more that it's a bit of a meme on chinese social media.
I've seen no indication that they see it in these terms. They've been pretty low-key about their progress.
To me it looks like the US obsession with reframe everything in terms of a "new cold war". From the US perspective, in end you look stupid if you lose, and you look stupid if you just spend a ton of money to repeat what you did last time