The author here seems to be using "paraphrase" to mean mean both "mirroring" (repeat back using speaker's words) and "paraphrasing" (repeat back using listener's words). I think there are contexts when each is appropriate. For example, if I (speaker) am giving you (listener) instructions, it's good for you to paraphrase. That shows me how you are interpreting my language and that allows me to clarify. Mirroring doesn…
To avoid misunderstandings the important bit is for the listener to rephrase in their own words according to their understanding.
That's key and is what your first example illustrates.
Your second example sounds more like questioning the speaker.