Introducing subtle bias for any advertiser that buys ads might be a tough nut to crack. For one thing, advertisers and the companies that employ them tend to want creative control over their ads. And it's not clear that a subtle bias towards Palmolive liquid detergent would even
do anything in a discussion about veterinary care for ferrets (or whatever), so would the advertiser have to pay for that? Or would they only pay if the user clicked on a link? But if the user has to click on a link, then it's no longer subtle bias.
Edit: Perhaps Colgate-Palmolive could advertise Palmolive on ChatGPT by having it so that, anytime liquid dish detergent does come up naturally in conversation, then the chatbot subtly points to Palmolive brand. But success here would be hard to measure.