Things that I noticed from the 2nd OPM OVA

Don Pacino refers to the guy in the white coat as ‘the no.2 guy in the Typhoon family’. Typhoon=Tatsumaki, and they even have the same eye color.
It’s obvious that they’re from the same family, but why does Don use Typhoon as in kanji?
Does this mean that 1: Tatsumaki had so little family contact she didn’t have a first name or 2: Tatsumaki is using her family name as a hero name?
The second option might explain her insistence on ‘being the strongest’, since she’s carrying the family name around, and she feels that she is responsible for her family’s fame.