If you (initially, and perhaps always) limit the discussion to abstract strings alone,
This reference will primarily be used when reporting instances of The Unicode Bug. The need for terms for the internals is inevitable as the respondent is sure to bring them into the discussion.
Your passage would be great in documentation, but it does not serve my needs.
Unicode recognizes only two abstractions: code points and grapheme sequences.
I specifically avoided touching Unicode. Unicode has well defined terms, and the conversations in which they would be used differ from the conversations in which those I listed would be used.