So that last link has numbers drastically different from the GP’s data, and it says that it comes simply from fossil fuel combustion and cement — not population. Population is also not a great metric; the types of power plants, typical personal transportation usages, and transport of everyday items like food will vary greatly. These are also all very dynamic.
The reality is all these data sources will he estimates. Estimates can be severely wrong — they can be produced by local governments with incentives to lie, or estimated by outside observers with poor actual knowledge. China has had a long history of empirical lying in their economic data locally due to internal party targets, for example. I see no reason for them to give accurate numbers to the UN/external world, where as with the US there’s enough decentralization and public data that there’s a better chance of being more accurate (but still probably quite off).