Not for me but seems like a win overall? People are generally far less willing to hurt/fight people they know well compared to some nebulous concept of a nation. If American and Chinese people get to know eachother in a social setting it can only be a good thing.

Could always do the UK model (Currently being used on the NHS) The workers keep their jobs and the state/public still pay for everything but the workers are now magically actually employed by a private company that extracts profit by charging the government for stuff it was already doing without providing anything whatsoever.