Hi dude,
The second link is closest to the concept (although  it is a long, complex way to approach a simple skill.)
You'll find references to modeling in Chilton-Pearce's work but in the mainstream generally it is called 'empathizing'.
Empathizing explains the 'copy' part of modeling but not the 'paste' part; that is to say, empathizing with the example target and employing imagination to 'behave as though' are two linked steps in a process and empathizing only describes the first half.
Empathizing is also sometimes referred to as mirroring, or 'monkey see monkey do'; because it is an innate ability and monkeys and apes do it too. Both parts of the modeling process need mirror neurons; the first part needs association and the second part needs imagination.
Put simply, modeling is making a high resolution copy of an example and then tuning your behavior to copy the copy. To model anything realistically you need to start with an example. The example is the model. For it to work in acquiring skills, we need to be shown rather than told (although both together are best).
We can model a set of circumstances by replicating the same circumstances; an essential in scientific experiment. But we more often speak of it here in the personal learning of abilities sense, and the term 'role model' is the usual colloquial.
Modeling is the crucial key to natural learning. What is copied is not just motions or words, but states of mind. The student copies the state of mind and mind processes of the model during the performance of the task, and reproduces it in their own mind.
Best,
AR