Which suggests some level of cognitive dissonance on their part, which is also worth pointing out. No?

No. I can think of no theistic belief that asserts all prayer accomplishes the goals of the person praying nor does any theistic belief demand that prayer accompany every action. There is no cognitive dissonance because the belief itself has room in it for mundane acts and natural physics.

When the established thought pattern already accounts for the supposed contradictory intrusion, there is no dissidence because there is no contradiction.

it suggests a level of hypocrisy on the part of the faithful - most of the time they operate exactly as if there was no divine force determining their actions and their fate. Which surely makes the religion superfluous at best.

Not at all. Again, faiths incorporate within themselves the basis for mortal actions. The first book of the bible, for example, is all about man's and the world's separation from divine perfection. It is a part of the basic narrative of their faith. That's not hypocrisy.

Think about it. Religion arose in this real world we live in. Of course there is no inherent contradiction between it and common events in the world. It could never have gotten off the ground or thrived.

No, the implication is that prayer doesn't work

How is that a contradiction of what I said? It is both true that prayer does not work AND that the faithful do not rely on prayer to get things done. Both statements are true. So therefore, implying that the faithful rely on prayer is demonstrably wrong. Your point, that prayer does not work, PROVES my statement. And since I believe this image and caption implies that the faithful rely on prayer to the exclusion of science, I have to say that is it wrong and should be condemned as an invalid argument.

Answer honestly, do you truly believe that pointing out the fact that prayer doesn't get rocket ships in the air.. is an insult?

It is an attempt at one. I have said elsewhere that the premise is so far off, no one of faith would think anything of it beyond that the atheist making the argument doesn't understand the theistic position... which makes it a failure on every level.

By that reasoning, any basic statement about reality is an insult.

It is intended as an insult... that's why it uses profanity.