Actually no, they're not different things; both refer to the same activity of a user analyzing the information on the screen and issuing commands that refine the available information iteratively, in order to solve a problem. (I would have bought your argument had you made a distinction between "solving the problem" and "finding the right tools to solve the problem").

The thing is that the Unix shell is terribly coarse-gained in terms of what interactivity is allowed, so that the smaller refinement actions (what you call "input") must be described in terms of a formal programming language, instead of having interactive tools for those smaller trial-error steps.

There are some very limited forms of interactivity (command line history, keyboard accelerators, "man" and "-h" help), but the kind of direct manipulation that would allow the user to select commands and data iteratively, are mostly absent from the Unix shell. Emacs is way better in that sense, except for the terrible discoverability of options (based on recall over recognition).