After reading the answers of two questions regarding the LM317, the answers made me think about whether I realy understand current source and current limiter.
In this answer it says:
The LM317 with the single series resistor between output and adjust input is actually a fixed current source, not a current limiter.
In another answer the LM317 is used as a "Precision Current Limiter". It is taken from the datasheet, so the wording should be right(?)
Now when I compare the "Precision Current Limiter" on page 17 and the "1A Current Regulator" on page 16, both have a "single series resistor between output and adjust input". What is the difference here?

From a user perspective my understanding up til now was:
- Current limiter: does never supply more current then the limit, but can provide less.
- Constant current source: the current sourced(/sinked) stays always the same (at least the regulator tries to do so)
Is my understanding right?