Two parties to an email conversation. If one person is using "Amy" and adds her to the conversation, the other person may not fully understand the implications. Especially since their marketing tries hard to blur the lines.

To the outside party, Amy seems like a competent secretary. I'm not sure why they would assume "she" isn't.

Doesn't every email "she" sends say "x.ai – artificial intelligence that schedules meetings"?

Even if that is the case this third party would then assume that the secretary is "with" the other person. Not some other person that no one have ever talked to or met or etc.