The private sector wasn't "not very interested", they were required to sell their dollars to the central bank for RMB. They just were not allowed to hold dollars inside the country. That money was then taken out of circulation by buying US treasuries (what else could China do with it?).
There was a time when China wanted to get rid of some of their USD holdings, so they encouraged companies to take RMB, buy dollars, and invest abroad. But taken to an extreme, eventually China runs out of reserves, has to buy dollars on the open market to satisfy demand, and that leads the RMB to de-valuing as they print more to buy dollars.
China still has to buy most imported commodities using dollars...like oil. A de-valued RMB will most certainly lead to inflation at home, causing prices to rise. And then Chinese will start hoarding dollars if they lose confidence in the RMB, leading to a sort of death spiral.
At this time, China wants to keep money in China, and so is cracking down on banks exchanging to USD too easily. Capital controls are a real thing.