The connection would be the mass. But it seems the real objection you have is the comparison to a watch.
Yes, there is a connection of course, just not the connection he is looking for.
1 year = 365.242199~ days
That is a correlation, just not one that is expressed in nice round numbers. It does not follow that this is, therefore, any evidence of randomness, unless one doesn’t understand the everpresent nature of irrational numbers in the universe.
1 Circumference = 3.1415927~ diameters
That is not a nice round number correlation either, yet who would argue that the existence of circles is evidence of randomness vs design?
Which is where I started and the only point I was making