The wealthy will largely continue employing humans to do tasks for them, because they can. It will be just another form of luxury / status. An AI assistant will be considered beneath their class. The technology will be nearly universal and extremely inexpensive, two things rich people dislike as it pertains to signaling their status.
The wealthy will employ AI the moment it can do the same tasks as a human, unlike humans the AI is cheap, doesn't take time of work, always available, never tired or grumpy, etc. The maintenance work of having an AI worker vs a human worker is just way lower.
The moment a corporation like McDonalds can replace the entire staff with robots without having a dip in efficiency they will do that. 24/7 operation would be linearly more costly to 9-5 weekday operation.
Then a few seconds after that the Singularity starts.
And did you hear the recordings? The AI is better at conversation than the humans it had to deal with. I would gladly use this to avoid talking to people who can't parse a plain sentence without rounds of repetition and clarification.