Politics and strategic ties will certainly play a role. There are precedents in the way that international space travelers were chosen by the Soviet Union and the US for their own space programs. Warsaw Pact nations (and some friendly or non-aligned states) flew cosmonauts to Soviet space stations in the 1970s and 1980s. A few strategically important friends of the US managed to get astronauts aboard the US space shuttle in a parallel move. Technical prowess in spaceflight is not always necessary to get a token national into space.
In keeping with this tradition, it’s likely that a Pakistani astronaut could launch at some point, given the country’s close strategic ties with China. Brazil has co-operated with China on satellite projects, and could thus have a foot in the door. Overtures to some African states could build on economic and infrastructure ties such as the Belt and Road project.
In Asia, China’s relationships are complex, but nearby states could at least be courted. Strong allies of the US such as Japan (a partner in the International Space Station) will probably be snubbed.
India has a robust space program and is developing an astronaut capsule. For political and strategic reasons, future Indian astronauts will probably fly on their own spacecraft, and not China’s.
The European Space Agency has shown more flexibility towards China than has the US, and some European states have long-standing links to China’s space program. This could pave the way for European astronauts to fly to the station, but this is still highly speculative.
Given the current state of Sino-Australian relations, it seems unrealistic to speak of a pathway for Australian astronauts flying with China at this time.
Thus, the station that is currently framed as a Chinese outpost could become more international in its scope. If the International Space Station is decommissioned without a replacement, China’s space station could eventually become the world’s only space station.
Morris Jones