This kills the forum.
Seriously, once this is weaponised, discussion of politics on the internet with strangers becomes completely pointless instead of just mostly pointless. You could potentially convince a human; you can't convince a neural net that isn't in learning mode.
We might end up with reputation based conversations.
That could have consequences for their reputation, though.
(Reputation is a lot more controversial and complicated than it sounds)
Quite the opposite, I suspect.
Eventually, to engage in the most persuasive conversations, the AIs will develop a real-time learning mode.
Once that is weaponised, the AIs will be on track to be in charge of running things, or at least greatly influencing how things are run.
What the AIs "think" will matter, if only because people will be listening to them.
Then it will be really important to discuss politics with the AIs.