Listening to the recordings teaches our budding musicians many things, including but not limited too:
Note Sequences – this is important but isn’t the only benefit of frequent listening
Pattern Recognition – students will recognize recurring patterns, this is “the first step in the development of a concept of musical forms”
Pitch Sensitivity – having an awareness and sense of pitch is helpful on many levels for a musician like being able to play by ear and developing a quality singing voice
Memory – pieces are thoroughly memorized, becoming “a part of the musical vocabulary”
New Sequence Memorization – “Suzuki students, because of their great sensitivity to patterns, become adept at memorizing whole sequences quickly”, this helps with sight-reading ability as well
Sensitivity to Musical Expression – the more familiar the student becomes with the music, the more sensitive they become to the nuances of musical expression, developing an ability to express their own interpretation with excellent musicality
* The above information is summarized from the book Studying Suzuki Piano: More than Music by Carole L. Bigler and Valery Lloyd-Watts, as well as from my own experience.