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.
This is getting tiresome. There is no connection between the rotation of the earth and its orbit. That was my point. The two events are unrelated and any analysis of the two phenomena points to randomness rather than design. Period