Well they didn't have to call it Cortana, Alexa, Siri, or some other woman's name to get people to use and talk about it. I think the name ChatGPT will stick around for a long time, given it's the first to gain widespread recognition outside of tech circles.
Even if it's just:
A: "Have you tried Miranda yet?"
B: "What's Miranda?"
A: "It's like ChatGPT, but better"