It also necessitates a deliberate action with intent to deceive.
Can you show a deliberate intention to convey the idea that Iraq was involved in 9/11?
An implication doesn't suggest dishonesty. Cheney may very well have believed that Iraq was involved in 9/11.
Yes.
But again, supporting AQ and its aims doesnt in any way mean there was involvement in 9/11. That's a leap in logic that is impossible to make with any degree of intellectual honesty.
You are talking about logic, and this isn't a circumstance of logic. Saying Iraq was connected to AQ and Atta doesn't necessitate anything. It suggests it. It isn't a logic argument. It only opens the door to further speculation of a kind that the Adminstration favored.
The administration stated for the record that Iraq was not involved with 9/11. Given that, any argument to the contrary is unsupportable.
It said that there was no evidence that Iraq was involved with 9/11. It never ruled out the possibility. The other statements it made suggested that this possibility was a viable one. People believed what they wanted to believe, and the Administration did little (one statement aside) to convince them otherwise.