I'm pretty sure the 1D weeks is based on the class of star and the assumption that the Collector is at either 100D from the star or in the star's habitable zone; it just wasn't spelled out because before LBB6, there wasn't an official way to generate and track what kind of star a given world had.
I agree; this is probably the reason for the 1D weeks in the original ANNIC NOVA. The cooler and/or less luminous the star, the longer it takes to recharge at 100D from the star, because the original Collector was almost certainly a stellar-radiation (i.e. "photonic") collector. (Solar Panels were a popular emerging real-world technology at the time the adventure was written).
However, I was reading your post above and had an alternative thought:
What if the original ANNIC NOVA Rad-Collector was an Early (or "Alternate") tech version of the T5.10 Collector, but could only collect its "exotic particles" at a range of more than ~100D from gravity/mass sources (i.e. it doesn't work well, or with reduced efficiency, within the stronger gravity well), and the reason for the 1D weeks was because of the variable/increased exotic particle flux intensity/density outside the 100D gravity well due to the mass-displacement of the star? Thus, more massive (i.e. "hotter") stars would actually take longer to recharge than at smaller (i.e. "cooler") stars? - In other words, large displacement and/or mass-density reduces the intensity of the exotic particle flux, and the alternate/primitive Collector on the ANNIC NOVA was not able to sufficiently compensate. Standard Collectors overcome this problem with more efficient technology that makes the mass-displacement / particle flux reduction problem largely irrelevant.
Recall that in T5.10 it is made explicit that acceleration is damaging to the Collector when deployed (and that might include gravitational acceleration from a stellar-body for such an alternate-tech Collector).
EDIT: OK I checked both JTAS 01 and DA1:Annic Nova, and it does explicitly say they are Stellar Collectors, and that the recharge time is based on the spectral type of the star. But my proposal above would seem to be a reasonable mediating retcon if you want to try and bring the one paradigm into line with the other. And "spectral type of the star" is in fact related to its mass and displacement - it does not necessarily have to mean stellar radiation luminosity or radiation frequency-spectrum.
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