I'd rather the AI companies make up names, or name their products things like "Clod" than use my name (if they were to ask) - as no matter how good it looks today eventually it'll be some form of laughingstock.
Any name you pick will immediately override anything that comes before - naming a model Socrates would confuse searches, for example (and it's why I hate the rename of iTunes to "Music" which is a generic term!).