If the analogy is to watch where the gears match up precisely, my expectation that the rotation and the orbit match precisely us a reasonable, even necessary one. I cannot explain the obvious any further.
Well the Watchmaker analogy, as it is posited, has nothing to do with the gears of a watch related to the connection between days and years on Earth.
As for your version of it, it’s just a conceit. You are looking for the gears to sync up in the way that you would expect, but there is no objective reason why that should be the case. Every planet has different day lengths and year lengths, some radically different than ours. The whole system keeps spinning along, but you want there to be some perfect correlation between days and years in nice round numbers, in a manner that you define, and when you don’t find that, you’re basically saying that you have won an argument. In reality, all you’ve done is set up a straw man and take that straw man down. It’s a flawed argument to begin with, so it means nothing at all if you are able to negate it.