I had always assumed that Paley had chosen a watch for his analogy, because he was responding to the Enlightenment view of the universe as a great mechanism, a "clockwork universe", which the "Great Clockmaker" had constructed and set into motion and then left it to run on its own.
I'm more familiar with the general progression of German culture than English, but the mid-to-late 18th century was the Classical Period, characterized by formal structure, orderliness, and rationalism. It was the period of the Enlightenment, as well as in the study Greek and Roman ideals (eg, James Madison's studying up on the Roman Republic just before the Constitutional Convention). The Classical Period was followed briefly by
Sturm und Drang ("storm and stress") which was a reaction against the Classical Period's unemotional rationalism (this was true in German culture, but I'm not sure what the English equivalent was).
Sturm und Drang was in turn followed by a further reaction against the Classical Period, the Romantic Period, which delved more into the emotional and the mystical, among other things (eg, turning to folk traditions, stories, and music for inspiration).
The transition from Classical to Romantic was around the first decade of the 18th Century, which has been identified as the time at which Paley presented his watchmaker analogy. Hence, I would tend to interpret it as his reaction against the Enlightenment.
{When you search for God, y}ou can't go to the people who believe already. They've made up their minds and want to convince you of their own personal heresy.("The Jehovah Contract", AKA "Der Jehova-Vertrag", by Viktor Koman, 1984)
Humans wrote the Bible; God wrote the world. (from filk song "Word of God" by Dr. Catherine Faber,
No webpage found at provided URL: http://www.echoschildren.org/CDlyrics/WORDGOD.HTML)
Of course, if Dr. Mortimer's surmise should be correct and we are dealing with forces outside the ordinary laws of Nature, there is an end of our investigation. But we are bound to exhaust all other hypotheses before falling back upon this one.(Sherlock Holmes in
The Hound of the Baskervilles)
Gentry's case depends upon his halos remaining a mystery. Once a naturalistic explanation is discovered, his claim of a supernatural origin is washed up. So he will not give aid or support to suggestions that might resolve the mystery. Science works toward an increase in knowledge; creationism depends upon a lack of it. Science promotes the open-ended search; creationism supports giving up and looking no further. It is clear which method Gentry advocates.("Gentry's Tiny Mystery -- Unsupported by Geology" by J. Richard Wakefield,
Creation/Evolution Issue XXII, Winter 1987-1988, pp 31-32)