In my view, if images of the cmbr showed the words "This universe supports life", it would be an incredible coincidence. I would start going to Church immediately.
What's the difference between having the words "This universe supports life" and what images of the cmbr actually show?
As I see it, given that the distribution of the cmbr is understood as random, the number N of possibilities where the cmbr would show anything incredible, broadly anything looking like a message, from script to likenesses of things like people, animals, plants, or physical models like an atom of hydrogen, geometrical figures etc. is staggering.
Yet, the number A of possibilities of the kind of distributions we see in actual fact is not just staggering. It is staggering even compared to the first number N.
The reason for that is the human brain. We can't distinguish between two random distributions. We couldn't even remember any one of them. The best we can do is remember what a random distribution broadly looks like.
Since we can't remember any particular random distribution, we wouldn't notice any coincidence if there was one.
However, the human brain can immediately identify the words "This universe supports life" or any remarkable distribution, if it was what the cmbr showed.
So, in this case, there would indeed be a coincidence, coincidence between one seemingly random distribution out of a very large number of them, and the very small set of distributions that would be somehow remarkable to the human brain.
Thus, we would have a coincidence between two seemingly independent processes: the distribution of the cmbr and the make-up of the human brain, brain which obviously could not possibly have evolved to recognise cmbr distributions.
So, the coincidence wouldn't be in the occurrence of any particular distribution since they are all equally probable. The coincidence would be between a particular distribution and the very small set, relatively speaking, of distributions that are remarkable to the human brain.
EB