Oh, and the heading of the John Major bit:
I have made no false promises on Brexit – I’m free to tell you the truth

Despite that, at no time does he actually claim to be telling us the truth. He is just pushing his own opinions. But some people will read the headline, and assume that everything he says is incontrovertible truth.

I think Lincoln got it right:
"You can fool all the people some of the time, and some of the people all the time, but you cannot fool all the people all the time."