Faces we know and names we lose
Almost everybody has had the experience of recognising a face instantly and being unable to produce the name attached to it. The reverse almost never happens. Nobody remembers a name while failing to recognise the person in front of them, and that asymmetry is a clue rather than a curiosity.
The usual explanation is that faces are visual and names are verbal, and it is not quite right. The better account is about how much each one connects to. A face arrives attached to a great deal: where you met, what the person does, whether you liked them. A name connects to almost nothing. It is arbitrary, it does not describe the person, and knowing somebody is called Baker tells you nothing that helps you retrieve it.
There is an experiment that makes the point neatly. People are shown faces labelled with an occupation and faces labelled with a surname, using the same word for both, so one face is a baker and another is called Baker. The occupation is recalled far more often, despite being the same string of letters. The difference cannot be about the word, so it must be about what the word can attach to.
This explains why the common advice works to the extent that it does. Repeating a name aloud, using it in the first sentence, or deliberately connecting it to something — a rhyme, a person who shares it, an image — all do the same thing, which is to manufacture the connections that a name does not arrive with. The techniques are not tricks of memory so much as a way of converting an arbitrary label into something that has somewhere to sit.
It is also worth saying what the difficulty is not. Forgetting names is not an early sign of anything in most people; it worsens gently with age in everybody and it is the most common complaint reported by adults of every age. The cases that warrant concern involve forgetting the person rather than the label, and that is a different experience which people rarely mistake for this one.