There are some obvious reasons to want to renationalise critical infrastructure like water and power, particularly given the absolutely piss-poor job done by the private contractors. And in many areas - like the trains - the "private enterprises" running the services turn out to be commercial arms of other European public sector bodies anyway, and are not private sector in any meaningful sense.
I don't think this is Left vs Right any more. If the Tories want red-wall voters and broad appeal, they have to move a lot more than Labour needs to stay in the middle ground. Left vs Right does not capture the complexity of what's happening here.