æ, œ, and fi are one or two? They’re one glyph, obviously, but when you ask ‘how long is “ fish “?’, it would seem odd to answer “3”.
In Norwegian, "ae" is an accepted transliteration of "æ", but "æ" is very clearly considered it's own character and we'd expect the answer to how many characters is "æ" to be 1 (which creates fun sorting issues too - "ae" is expected to sort after "z"), just like "aa" is a transliteration of "å" except when it isn't (it's always a transliteration when outside of names; within names all bets are off - some names traditionally uses "aa", some uses "å" and if represented with "aa" it respresents a transliteration; to make it worse, some names exist in both forms - e.g. Haakon vs. Håkon).
Now the interesting question to ask Norwegians is "how many characters are 'ae'?" On one hand the obvious answer is 2, but I might pause to think "hold on, you meant to write "æ" but transliterated it, and the answer should be 1". Except it might occur to me it's a trick question - but it could be a trick question expecting either answer. Argh.
[I just now realised a search for "å" matches "a" and "å", but "aa" is treated as two matches on "a", and that I definitively hate, though I understand it's a usability issue that it matches on "a", and that matching on "aa" makes no sense if the matched term is in another language.]
[EDIT2: I've also done some genealogy recently, and to be honest, the spelling of priests makes it quite hard to hold on to any desire for precision in find/search]
Also, talking about 'glyphs', one has to clearly separate between what Unicode encodes and what a given font uses; in the context of fonts, 'glyphs' are also called 'glyfs' or 'outlines', and any OTF my choose to render any given string with any number of glyfs/outlines, including using a visual ligature to display 'f+i' = fi but doing so by nudging the outlines for f and i closely together.