When doing research on your topic, trust your own evidence.
You couldn't be more right! In want of factory records I will give it a try with statistics. As I worked this out, the write-up became rather complicated and tedious. Sorry for that!
To test the assumption that fleet orders are randomly distributed over the production year, I will compare the total available sequential production number space with SPNs of fleet cars actually found. As survival rate has no relation to SPN space, a statistical approach is legitimate.
Fleet cars are DK/PK cars, non-DK/PK cars with the high-performance P- or U-code engine and other cars included in equipment sales by a public entity. The sample derives mainly from newspaper archives and is possibly biased against examples with the U-code engine, because I only found equipment sales by non-state entities (counties, cities, townships ecc.). As equipment from one and the same entity tends to have consecutive SPNs, most data in the raw sample (144 cars) are not independent. They are groups (orders) rather than individual cars. The corrected sample eliminates these dependencies by considering just one SPN for every group of consecutive SPNs found. I will count orders, not cars.
I calculate the total SPN space for Monacos and Furys by subtracting not only the Chrysler Town & Countrys but also the Monaco/Fury wagons, all produced at Belvidere:
Total SPN space: 59,300 Newark + (157,720 - 8,194 Town & Country - 29,622 Monaco/Fury wagons) Belvidere = 179,204
Corrected sample: 17 DK + 10 Monaco other + 29 PK + 18 Fury other = 74
The wagons need to be excluded from the comparison, because for them there is nothing to compare: they were all assembled at Belvidere, at the same time reducing the SPN space relevant to the comparison.
Now I divide the total SPN space and the corrected sample in two groups: group A with an SPN up to 59,300, which corresponds roughly to the months August - December 1973 ("early"), and group B with a higher SPN ("late"). A complication here are the 8,194 Town & Countrys, for which I only have a very small sample (11), mostly with SPNs below 59,300 (8 out of 11). I choose to err on the safe side and subtract them all from group A, thus artificially changing the proportions in favour of group B. A similar problem is posed by the Monaco/Fury wagons, only here the sample is large enough (49) to allow for a rough estimate of their distribution:
Monaco/Fury wagons sample subdivision
A (early): 23
B (late): 26
For now I will subtract half of the 29,622 wagons (14,811) from group A and half of them from group B:
SPN space subdivision
A (early): 59,300 Newark + (59,300 - 8,194 Town & Country - 14,811 early Monaco/Fury wagons) early Belvidere = 95,595 (
53.3%)
B (late): 157,720 Belvidere - 59,300 early Belvidere - 14,811 late Monaco/Fury wagons = 83,609 (
46.7%)
For Newark it is known that C-body production ended in December, 1973. For the approximate dating of early Belvidere Monaco/Fury SPNs I can offer PM41U4D158482 with the SPD value C10.
The upshot so far is the insight that, would the distribution of fleet orders have been random, one would expect about half of them to have been executed by the end of December, 1973. Now consider this:
Corrected sample subdivision
A (early): 1 Monaco + 10 Fury =
11 (14.9%)
B (late): 26 Monaco + 37 Fury =
63 (85.1%)
Running a Goodness-of-Fit test on these numbers, ie. comparing the expected distribution in the total SPN space with the distribution in the corrected sample returns a significant result at p < 0.01.
In other words: the corrected sample rejects the assumption of a random distribution over the production year. And that's where the story ends. For an accurate estimate of the actual distribution of fleet cars the raw sample needs to be enlarged by a factor of 2.5, something I do not think will be feasible.