If A oversold their claim, B would have massively oversold theirs. And that was easy to prove and has been proven
Right. But if A is supposed to be the trusted authority and B proves they aren’t trustworthy, you’re more likely to not believe criticisms of B because “the establishment” has already been proven untrustworthy. That’s how conspiracies gain traction, and any amount of hiding of information gives fuel to detractors.
So people are going to ignore criticism of B because they’ll feel that B is the “underdog” being attacked by “the establishment.” That’s how these things work.
There is no trick to this. Being factual and getting people to believe you is much harder than telling an easy but good-sounding lie and getting people to believ you.
Sure, but trust is earned. You can’t lie 5% of the time and expect people to believe everything you say, if they find out about that 5%, the other 95% will be called into question. So you need to reserve the lies for when they really count.
Lying will work in the short-term, but it has big consequences in the long-term, so if you’re a long-term entity (e.g. the CDC, FBI, etc), you need to be very careful about how people interpret your message.