As with the Russian one, there will be politics to any vaccine, and it will be hard for us to distinguish the politics from the reality. For those in vulnerable demographics, even a vaccine that has cut corners (as we're told the Russian one must have done) may be a Good Bet.
I think China - or indeed anyone else (with the possible exception of Trump - though he'd be taking on his own country's pharma if he tries to cause trouble) - will be happy to export a vaccine without regard to politics, subject only to manufacturing capacity and logistics. And costs.
I'll take the measure of what is a good bet as how widely it is approved by regulatory authorities around the world
across countries whose geopolitics are not closely aligned. And I'd be inclined to weight EU approval above any other single authority around the world.
So long as viable research into a vaccine is going in the west theres not a chance in hell that the US will take the Chinese vaccine, the loss of face would just be too much.
They'd find a way. It would be the private sector, not government, and they'd give it a nice patriotic American badge with Chinese references relegated to a disused lavatory with a "Beware of the Leopard" sign. An American company (no need to mention if they're a mere importer)
has worked with our partners around the world to bring us this great breakthrough! They might indeed find it easier to take than the UK, where posturing politicians are much more in charge and don't dare to risk displeasing Trump.