The headword is syllabified in W , not in L .  In older dictionaries the words are syllabified mainly to help in pronouncing them; latterly, syllabication has been used largely to find where a word can be hyphenated at the end of a line of text, though, judging by today's newspapers and magazines, one would be sore put to believe that a dictionary had ever been within the grasp of their editors, proofreaders, or the programmers who wrote the hyphenation programs for the automatic typesetting many of them now employ.
The work of syllabifying and hyphenating words is mostly done by computers these days.