First, a nursery rhyme is for kids so if it only "rhymes" on paper, then it's going to be missed by the audience (and it's only a rhyme in a metaphorical sense

First, a nursery rhyme is for kids so if it only "rhymes" on paper, then it's going to be missed by the audience (and it's only a rhyme in a metaphorical sense anyway). Besides that, square and year don't rhyme either when spoken or written. Further, while November and September may technically rhyme, they don't sound very rhymey to me. Maybe just because the -ber ending is so common in months and the part of the words that differ are three syllables back.