Unless they installed some spyware to try to steal more passwords, or duplicated the 2fa auth keys, or have some rmeote viewer app running now to steal text 2fa keys, or whatever else. You could steal way more in the long term than the couple of hundred that a used phone would go for.
That name and personality is like the name and personality of siri or google assistant. I wouldn’t be able to differentiate my old note 10 in a stack of SM-N970U’s even if the assistant on it remmebers my preferences on news feed and autocorrect words and whatever. Even the wallpaper may be a default and stuff like that.