To recover to a climb should be the eventual aim to regain any height loss. The student should be taught to recognise whether recovery to S&L or a climb is required. (Common sense?).
The primary importance is to get the student to understand the stall symptoms, the indication of the stall itself, and safely action the SSR.
Once they have understood the basics, and can demonstrate good competency, then the climb becomes important, as they will be expected to affect minimum height loss and to return to the original height they started at, but it will also show other elements.
Here is key opportunity to demo the secondary stall (as you climb away rapidly), but also introduce them to the go-around, low power/idle to full power climb. This is a good time to see the progression of the student and how their co-ordination is.