"The agent is given access to the user's personal context, e.g., their email inbox and a structured profile of personal attributes, with the intention of making an optimal, personalized decision for the user. We show that by simply providing this personal context, the agent steers recommendations based on inferred wealth, without being explicitly instructed to do so."
It's not changing prices based on the user's wealth, it's making different recommendations, which, to me, is both expected and desired behavior.