They must have come from the same shop, there's just too many similarities. If there's a difference, it's most likely in the movement, since that would have merited a different price-point and possible reflected a variance in distribution (given the odd tax situation with Swiss watches in the US during this period), so very curious to hear what's on the inside. It could well be an A. Schild 1903 as well, though. I'm sure the caseback is the same, since it's the same Breguet case. Do you have a year? Mine is 1966.
BTW, I assume the lume variation between dial and hands is simply that it reacts differently in contact with metal. I'm sure one of our fellow OF members could confirm.
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