Thing is that it can in the early stages which is how people end up getting tricked. Private industry starts undercutting public services to get a foothold, and then once they become entrenched then the quality of service goes down and price goes up.
Financialization is basically this. The trick is to have the financial runway to capture market share. Customers buy-in because it's the best deal (temporarily). This is why walled-gardens exist in tons of places for seemingly no benefit. The benefit is locking in the customers to your 'ecosystem' or whatever.
And by the time you've bought the bridge, there's nobody else offering a similar service with which to compare prices so the scam goes on and on until the infrastructure collapses under the weight of zero maintenance under the privatised model.
Yes but what if there were 20+ bridges all competing for your traffic in a truly free market? In fact why do we need bridges anyway the free market should just pave over rivers for more freedom