I would say that of the four things you mentioned, there are related themes in Arctic Council co-operation. That co-operation on social development, economic development, and science is framed by a set of criteria that all observers have to commit and adhere to when they become observers. China is one of 40 observers to the Arctic Council. Observers are not always governments. They can be governments, civil society organizations, or intergovernmental organizations.
To become an observer, as criteria they have to “recognize Arctic States' sovereignty, sovereign rights and jurisdiction”, and the extensive legal framework that applies to the Arctic Ocean. Critically to us, they need to “respect the values, interests, culture and traditions of Arctic indigenous peoples and other Arctic inhabitants”. There are other criteria, but I mention those because I think it's important to understand the context in which China and other governments and organizations become observers.
China is already deeply engaged economically with Russia on liquid natural gas, on transportation, on Arctic tourism and, more generally, on sustainable economic development. This is actually a key theme in the Arctic Council.