So do you think that formative DNA chemical reactions, and this statement:
Watson's math addresses the probability/improbability of data self-forming/sequencing itself in any natural (i.e., an area without intelligent intervention) environment.
are independent suppositions? I submit to you that they are not. DNA is formed by single amino acids and chains of amino acids that chemically bond together to form longer and longer chains (in the standard model). The data that makes up DNA is represented by the individual amino acids. The standard model does not mention that the first DNA formed in a sequential manner. Nor does it say that it is a truly random process, since the chemical bonds that connect the bits of data together are guided by the likelihood of the chemical reactions. How can you say that the model says anything accurate about the probabilities of life, when it doesn't accurately depict reality with it's initial conditions?
That's good because you at least identify where your error resides. Chemical reactions can build structures (e.g. double-helix, blank CD-ROM, empty hard drive, plain white paper pages) all day long. Clearly structures can be chemically formed INDEPENDENT of data being sequenced on them. Just because you have a chemical structure doesn't mean that it contains data.
But DNA that is capable of forming life, as well as CD-ROM's that are capable of allowing programs to be run from them, WILL have data stored in/on them.
Sure, you could build a double-helix DNA structure with all A/C bases in between acids, but that would be incapable of forming life because there would be no data present.
However, the correct sequence of A, C, G, and T bases in a double-helix structure will form various types of lives, depending upon the order of said data.
No one cares if chemical double-helix structures can form naturally, just as no one cares that blank CD-ROM's can be molded at the factory.
What matters is the sequence of data, if any, that might be stored in or on such structures.
Watson's math simply applies to the probability / improbability of such data self-forming naturally (i.e. without intelligent intervention or aid).