Let's interpret the claim precisely before calling it incorrect. What it asserts is that there exist some minimalist Linux distros around a few hundred megabyt

Let's interpret the claim precisely before calling it incorrect. What it asserts is that there exist some minimalist Linux distros around a few hundred megabytes in size, and this can be shown true merely by example. The claim notably does not use "all" or "every", so the existence of something smaller does not create a contradiction.