Hi-Fi Set's career suffered a dry spell between 1979 and 1983 when Yuming no longer assisted them as a songwriter and they couldn't keep up with changing trends around the turn of the decade. During those years, they mainly performed 4 Beat Jazz, but it was obscure enough that those albums never got remastered on CD. In 1984, they finally found their new niche by teaming up with Masamichi Sugi (杉真理) who would take care of most of their songs from that point on starting with "Sunao ni Naritai". While the song still retained some of their signature jazziness, it also embraced that peppy spirit from the 80's that helped it appeal to new audiences. It also got a popularity boost thanks to being used as a CM jingle for Citizen "Riviere" watch. I don't have any Oricon data, but J-Wiki does note that the single was a moderate hit.
And last but not least, the song is turning 30 years old on January 21st! I remember when I first became attached to 80's music I didn't feel like like it was that old. But there you go.