Loving the SNES soundtrack vibes here! Very authentic-sounding, very catchy. If you told me these came from a classic Japanese game from the 90s, I would totally believe it! Great entry.
I wouldn't define these as chiptune, personally, since chiptune is based on simple wave sounds and noise, and here you're using actual instrument samples and no square, triangle or saw, for example. But labels are ever changing and chiptune isn't exactly defined anyway, so you do you! In this case I think 16-bit music is fine (as in, music that sounds like it came from a SNES or a Genesis), or "tracker-style" music, even if you're not actually using a tracker.
Best wishes!