I spoke to Timex support. After sending them a video of the 30 second mark pushing the minutes hand forward, the Timex Engineers agreed the watches were out of spec. Maybe because I bought many watches recently (I also got the Marlins), they let me exchange 2 of them.
Happy to report the new arrivals line up properly and yes they are very fun to wear.
Is this due to the second had not being properly seated, in the same way a minute hand can be improperly seated compared to the hour hand?
I know it make no difference on common mechanical watches, or the average quartz analog movement.
I'm wondering if its supposed to be resetting the position of the second hand to the 12 O'clock position.
When I set my quartz watches I just pull the crown up as whatever online clock I'm using reaches the 59 second mark which with reaction time and looseness of the movement results in the second hand being close to centered at the 12, though most of the time I seem to get only within 1/4 to 1/2 second off. Then set the hands to the next minute and push in when the online timer goes around again to the 59 second mark.
With a mechanical movement I find that some are tight enough that I can pause the second hand at the 12 O'clock marker by holding the pulled up crown with slight back pressure. Once its released the second hand is allowed to continue while I set the hour and/or minute hands to the correct position. I endeavor to make sure the minute hand reaches the center of a marker just as the second hand reaches 12 again.
I'm trying to figure out what makes this Timex movement different from other quartz movements.
I have a lower priced Timex which I got NOS still in the protective plastic wrap for about 1/4 of the SRP ( SRP was maybe 50-60 USD I paid around 18 USD) due to a pin missing from the clasp of the bracelet.
It works perfectly and keeps excellent time, doesn't gain or lose a second so far as I can tell, and I really like the dial and gold markers, it has a black finished case, but the bracelet is unnecessarily bulky and impossible to properly fit to my wrist. The case is also too heavy for what it is.
I figure on getting or making a leather band for it, though its not a priority.