His complexity definitely makes his poetry much more interesting, i suppose there it is always fun deciphering a puzzle and that is what analysis of Blake's work quite literally is.
Im looking at the Lamb now, and just concluded that there is no innocence in the world of innocence in Blakes "Songs of innocence" because there so much hidden experience in this apparently innocent world - making it far from innocent. He uses so many literary techniques to cover this up, i.e. he uses pastoral imagery, liberal use of repetition luring the reader into this sense of comfort only to find on a close reading that there is a complex rhyme scheme within this simplistically appeared poem [although the first stanza is adheres to a ABAB patter, this does not follow in stanza's 2 and 3, but appears again in for, only to disappear in 5 - very irregular, and luring don't you think?]. Hence his world of innocence is if anything, more dangerous than his world of experience for at least in that world one actually is aware of complexity, the diction is harsher, the verse more complex.....but that is all expected....making it less surprising and thus more innocent...