The hypothesis is that higher collodion density contains more silver halides, making it appear brighter while the sensitivity remains the same. Do I understand you correctly?
Yes, you do. It's at least the hypothesis I based on your own suspicion that the thickness of your collodion might vary from plate to plate:
The thickness of the collodion seems to vary.
So that's the hint I went by. It's not the only possible hypothesis, however. As hinted at earlier, other factors also play a role in silver halide content.
And then there's also the issue of development, which can sometimes be hard to get consistent from plate to plate (although you seem like a well-trained and consistent worker to me).
Do you think storing the stock collodion in separate bottles, minimizing exposure to oxygen, would prevent oxidation of the stock collodion?
I really don't know. It wouldn't surprise me, but it's also possible that the collodion mixture itself ages even in absence of oxygen. In fact, I expect that in an opened bottle of collodion, there's not all that much oxygen to begin with since the ether will form a vapor blanket on top of the collodion and that should seal it off against environmental air in a static bottle pretty well to begin with. So I'm not all that optimistic that better storage is going to help much.
I wish I could buy smaller quantities but 500ml is the only available small size here.
I would suggest mixing your own so that you have full control over batch size. I think in your situation, it would make sense to do so. You could mix enough to last you a few weeks or so, so you're never left with very old collodion.
When I still shot wet plate, I think the longest I used my mixed collodion (variants of 'Poe Boy', usually) was for maybe a few weeks. I do recall having tried a leftover batch that had been sitting unused for 2-3 months and it was barely capable of producing an image anymore. It was essentially rendered useless and had to be discarded. Poe Boy doesn't keep very well, I understand, and other types mixed with lithium or cadmium salts may fare better. I never tried those, though. Eventuelly, they will all deteriorate.
Do you think the aging of unused collodion has an impact on sensitivity?
I know that old collodion tends to behave differently; it gets slow and contrasty as I recall. Adding old collodion to a fresh batch will surely affect how the entire batch will work, yes.
Note that by 'old collodion', I mean collodion that has been mixed with additional ether and bromide and iodide salts. The collodion itself, without any additional ether or salts, seems to be fairly stable, although this, too, seems to deteriorate (and potentially dangerously so!)
using marbles for stock collodion seems laborious.
I also think it won't help, so I wouldn't bother.
Of course, you could try and store let's say 100ml of collodion in an entirely full bottle (so use a 100ml bottle) and 100ml of collodion from the same batch in a larger bottle with air on top, and compare the performance between the two after e.g. 2 or 3 months. If there's a noticeable difference at that point, you know that the storage method does have an influence. It's an easy experiment to set up; it just takes some time.