Information = Entropy

Are you saying that any noise is information? Why don’t you look up any definition of ‘information’ or ‘to inform’? Yes, information must have a meaning to the receiver to be more than noise.
Give the Gettysburg Address to a village in China and ask them what information they got out of it. Also what do you think “it’s Greek to me” means?
At a minimum you should have some doubt about who is confused here.

Not my definition. If you have a different one I would like to see it.

In the technical sense, yes, the sending and receiving machines need not understand the message and many times one would send a “random” message to test the losses in the comm channel. But then the received message is compared against a standard to check for accuracy. So yes, even that “random” message has a meaning as 1 bit error means something and 10 bit errors means something else.

Without getting into deep philosophical discussions about intelligence, mind, and understanding, let’s just say DNA “understands” the same way your TV “understands” the broadcast signal.

We most definitely are. In fact it’s striking how much biology has in common with human programming and telecommunication (you’re quoting Shannon, aren’t you?)