This brings an interesting question - will the various chatbot products bias towards the owning companies lobbying efforts (parroting their lobbying points)?
Not too obviously until they have the penetration that they feel that they can get away with exerting power that way without it being curtailed.
If there's enough SEO garbage commissioned by lobbyist, Yes.
That assumes the chatbot creators don't introduce explicit bias of their own. What if they start doing that? For example a search for nutritional information about some foods might be influenced by fast-food companies buying "ads" to insert their own messaging.