Only sz should use ß. Ss stays ss even in German-german. Switzerland got rid of the sz/ss distinction a long time ago.
So you need to be culture and word aware to do it „right“.
I believe the actual name is Eszett.
By this measure, the English name of “W” would be wrong because it’s not actually a “double-U” but a “double-V”. But at the time of the letter’s formation, U and V were not yet separate letters.