Yeah I'm definitely only speaking in terms of rockets. In terms of achievements I think China is
probably #1 overall, but it's close -- SpaceX's Polaris Dawn mission puts them well ahead in terms of human spaceflight. That said if we just dropped the whole SLS nonsense and started dedicating NASA's $20 billion+ per year to actually doing stuff, our achievements would rapidly surpass given the edge in rocketry.
Artemis definitely isn't going to be putting anybody on the Moon. It again relies on the SLS which is just an endless money pit. But I do think it'll be interesting to see if SpaceX gets there before China. But I think the big picture is on Mars. I expect whoever gets their first will probably foretell who dominates space for the next century. Because once you can put men on Mars, the entire Solar System starts to viably become your playground.