> How could this possibly be true. If that were the case then you could simply lie to a person until they accept a more reasonable position. Instead of using facts and evidence to support your position just lie to them and make stuff up. The fact that you cling to evidence in your arguments (I assume) means you don't really believe lying will sway people to your perspective.
I think you're making the mistake of assuming that everyone is willing to play the same ends-justify-the-means game, where they're OK with shamelessly lying if it can momentarily get someone to align with their faction. What the GP describes is only a dilemma if you have a commitment to the truth.
Also what you describe (counter cheap lies with more cheap lies), would actually play into the hand of a disinformation actor. In many cases they're not looking to persuade anyone of of anything, just increase confusion, cynicism, and disengagement; which reduce their adversary's capacity for making decisions and taking action.