Comment by jfoster
I run one of the many online word counting tools (WordCounts.com) which also does character counts. I have noticed that even Google Docs doesn't seem to use grapheme counts and will produce larger than expected counts for strings of emoji.
If you want to see a more interesting case than emoji, check out Thai language. In Thai, vowels could appear before, after, above, below, or on many sides of the associated consonants.