You’re totally right, I have to check my biases.
Maybe we can find some Anglo-Saxon words to describe these shapes since obv not everyone has the greek numbers memorised.
A hexagon could be a sixpoint, or a sixcorner, or a sixedge, or a sixangle. What sound more well rounded to you?

We do that in German, I bet you could pick out the meaning of these words: Viereck, Fünfeck, Sechseck, Siebeneck, Achteck, Neuneck.