Logic Glyphs maybe is the correct term so. Think about the many existing Android's software keyboard. They don't know what is the font the app is rendering, but when you press the "virtual backspace" button to delete a emoji from content, they understand that the glyph you are trying to delete occupies more than 1 UTF-16 Java char.
Even without the information about font, the virtual keyboard send commands to delete many utf-16 Java chars at once just to delete a glyph.
So, the concept of glyph in unicode exists without the font. Maybe the term should be something like logic glyph, or well known glyphs sequences...