Hmmm. Maybe we mean different things by privatization.
The way it works in my city is this: We have a pressing need to provide support services to a wide range of homeless. For this purpose, the city government establishes programs for things like shelters, and counseling, and drug rehabilitation, and so forth. And the city government sets aside funds - significant funds - in the city budget to pay for these homeless support services.
However, the city government does not establish a city agency or department to provide these services. Rather, it engages a number of non-profit organizations to do so. These non-profits receive all the funds raised, with the desired services being provided by them. This is the part I call "privatization". At current count, we have over 190 such non-profits in our city, contracted to provide homeless support services. And just like in your right-wing case, in my left-wing case this has resulted in significant fraud and waste, and very little in the way of services actually provided.