The knowledge of that information is going to require the expenditure of energy also. Any attempt to 'know' the tension of the spring requires that some of it be relieved.
In that change of force there is the expenditure of energy.
This spring analogy somewhat describes what happens at the quantum level as we try to know what in the heck is going on. There's not much to look at, and merely looking at it to know changes what there is to look at.
The potential energy of a mass within the gravitational field is information also. The information is one of position. The doctrine 'energy can't be created' explains 'if you would want to change the information of the position of a mass you are going to change energy'.
This is a simplistic description. When you reduce mass to the finely divided state of particles you can see there is an expenditure of energy to just extract the knowledge of 'what the potential energy is'.
The premise 'gravity alone can cause mass to self rotate' could be said in other words.
There is a lot of information in a rotating mass. The timing of when to look and when not to is a critical matter. Sometimes you take a peek and at other times you let the axle peek.