What is the difference as long you are inssured.
The point being, if China undertakes the project and the insurance, and if stuff happens, there will be double losses to the Chinese part of the business. If everything goes smoothly, the Chinese will get double gains.
It's all about the risk that one can bear.
In the past, when the Chinese launch foreign satellites, I remember (if correctly) a 3rd party foreign insurer(s) was normally engaged.