The problem with text (that Unicode solves only partially) is that text representation, being a representation of human thought, in inherently ambiguous and imprecise.

Some examples:

(1) A == A but A != Α. The last letter is not uppercase "a", but uppercase "α". Most of the time, the difference is important, but sometimes humans want to ignore it (imagine you can't find an entry in a database since it contains Α that looks just like A). Google gives different autocomplete suggestions for A and Α. Is this outcome expected? is it desired?

(2) The Turkish alphabet is mostly the same as the Latin alphabet, except for the letter "i", which exists in two variants: dotless ı and dotted i (as in Latin). For the sake of consistency, this distinction is kept in the upper case as well: dotless I (as in Latin) and dotted İ. We can see that not even the uppercase <==> lowercase transformation is defined for text independently of language.

These are just two examples of problems with text processing that arise even before all the problems with Unicode (combining characters, ligatures, double-width characters, ...) and without considering all the conventions and exceptions that exist in richer (mostly Asian) alphabets.