I might agree. (*L*) I don’t really know. My 2nd dd is dyslexic – so for her, memorizing “random” things like multiplication tables is so hard. (Multiplication feels random to her – just because that’s how she is.) So, for her benefit, I started singing the 3s, 4s, 6s, 7s, 8s, and 9s. (The 5s and 10s she can do on her own.) One thing I make us do is put up the proper fingers while we’re singing. And she actually touches her fingers to sing the songs. It works. It takes a long time to do her math work this way, but at least she has a technique to help with math.
My other daughters don’t seem to need the songs. My oldest dd didn’t memorize the times tables until lately (she’s in 7th grade) – and she still every once in a while asks what x * y is. My 3rd dd just seems to “get” math, so the songs haven’t helped or hurt her. My 4th dd (only in 2nd grade) can now sing the 12s (??? Even I need the cheat sheet to sing the 12s – or else time to do the math in my head!! *L*). I can’t tell if it’s helping or hurting or neutral.