Apparently, according to one Thai gaming magazine, Vegeta is indeed a tsundere. The publication, which published a short informational section on the Tsundere archetype, plastered the Saiyan prince’s grinning mug amid images of Mikoto Misaka (A Certain Magical Index), Aisaka Taiga (Toradora!), and Maki Nishikino (Love Live!).
For those who don’t see the humor, tsundere is a term commonly given to a female archetype, in which a character starts off cold or hostile toward another person (usually the main character), only to grow warmer as the series progresses. It’s a portmanteau of two terms: “tsun tsun” which means “to turn away in disgust”, and “dere dere”, or “lovey dovey.” The word achieved popularity in visual novels, before seeping out into the common fan vernacular.
It may technically be right. I mean, Vegeta does start off as a pretty big hard-ass. And he does end up fusing with Goku on a few occasions near the end of the series.
But, really, it’s kind of hard to see the prince of the Saiyans helping Goku and company out just because he was already doing it… baka.