Violet is a color of the rainbow, which is a spread out spectrum of the colors of white light. These are called “spectral colors”, and you can make them yourself here: https://academo.org/demos/wavelength-to-colour-relationship/
Purple is often used to mean a mix of red and blue light, so it’s not something you can find in the rainbow. If you think that only colors in the rainbow (spectral colors) are real colors, then purple isn’t a real color. All the purples can be seen here: https://en.m.wikipedia.org/wiki/Line_of_purples
But really, violet is basically purple as far as anyone cares in everyday conversation, so the statement isn’t really true to begin with.
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