If a molecule or a protein is produced in a specific cell type, and then moves to other cells (even to other organs) to promote genetic reprogramming, is correct to say that it acts in a cell non-autonomous manner?
Yes. Autonomous means independent. Cell-autonomous would mean an action within or by a single cell, not requiring any other cells. An action upon a cell by the product of a different cell would not be cell-autonomous.
Yes, what all the proteins do after processing is to move (helped by other proteins) in the area where it has its effects, and it will work only if there are the correct conditions. So it is quite safe to say that once all those conditions are met, regardless in or out of the cell that produced it, the protein will do its job, just bare in mind some proteins need help from other proteins (enzymes need activators for example) but not all of them
Yes. Autonomous means independent. Cell-autonomous would mean an action within or by a single cell, not requiring any other cells. An action upon a cell by the product of a different cell would not be cell-autonomous.