I think that's unavoidable, but also not a bad thing. If we were to undertake any similar large scale public projects today, it would also have significant private sector participation. But, that drives job creation and positive effects on the economy (i.e., new deal).
The main difference is, ideally, the project was voted on by the public, and is being steered as such. A public-private collaboration, with the public driving it rather than it being entirely the domain of a single private entity for their own profit.