I think is worth to try. If your theory is correct, then BBA would be linked to lack of cleaning in the tank, i.e. the organic wastes being available for the heterotrophic bacteria for a start, which would mean, once again, that cleaning is a key element to have the plants just right.
Apart from that, a few comments:
1. The article mentions the ratio C/N 4-10:1 in marine environments being higher than in terrestrial environments (20:1) mainly due to the presence of algae with higher levels of proteins and less cellulose. Meanwhile this is correct, in freshwater environments the C/N ratio would be expected to be between both of them. Algae has much less weight in terms of biomass in freshwater environments, which also contain much more vascular plants (most aquatic plants are vascular plants). In fact, I did a small research which support this idea:
a. A study over Superior Lake, which could be considered a freshwater sea (
https://www.fba.org.uk/journals/index.php/IW/article/view/365/252), so it is not a standard freshwater environment. Still, the researchers report a C/N ratio of 13-14:1 which falls exactly between the two ones reported by the article you cited and matching my comment.
b. A general study of marine and freshwater environments (
http://www.aslo.org/lo/toc/vol_38/issue_4/0709.pdf). The study shows that ratio it is not the same in the particles in suspension than in sediments. This is, of course, because the population of organisms is not the same, as well as sediments tend to accumulate particulate organic carbon. Apart from that, they analyze the ratios for rivers and lakes, with average result of 11.4-13.0:1, which again is in the mid-range between terrestrial environments and marine ones.
c. A specific study about marine algae CNP ratios (
http://www.tandfonline.com/doi/pdf/10.1017/S0967026201003456), which basically says marine algae has a C/N ratio between 6-8:1
2. B12 vitamin is mainly produced in anoxic conditions, i.e. in a tank will happen mainly in the biofilms associated to elements of the filter, and perhaps in some areas of the soil. However, water moves slowly within the soil (which allows this anoxia) so the rates of production, if any, at such a level, will be very low in comparison of those in the filter. Reducing oxygenation will incentivize anoxic conditions, but this is also something to consider in your reasoning: If no oxygen, heterotrophic bacteria will have also difficulties to break the organic matter into elemental pieces, and hence, the production of ammonium will be reduced, as well as the conversion into NO2- and NO3-. Reducing oxygen will then alter the proportions favoured by the algae. Note that there are specific conditions of optimal growth in each species. This study (
http://goo.gl/R1i5pX) shows how an algae of the same group as BBA only achieves optimal growth to specific ratios, i.e. an excess of N/P ratio will produce deficient growth.
3. B12 vitamin is intaken by all living beings in the aquarium, favouring not only algae growth but also plant growth, so increasing B12 vitamin maybe is not linked at all with the appearing of BBA, which seems to me more related to the provision of the optimal C/N/P to these algae (i.e. CO2 injection, N production and ferts, P production and ferts) rathern than a specific cycle in the tank. This is supported by the idea that most algae have a symbiosis with some bacteria to intake B12 (
http://www.nature.com/nature/journal/v438/n7064/full/nature04056.html), which has been identified as an exchange of fixed carbon by B12 vitamin (
http://www.ncbi.nlm.nih.gov/pubmed/22463064), in a type of interespecific mutualism. This seems true also for the group of rhodophyta, to which BBA pertains (
http://ec.asm.org/content/5/8/1175.full), so BBA will not require B12 in the water to grow (as its symbiotic bacteria will produce it). On the other hand, increasing the organic matter in suspension will favour it, as the symbiotic bacteria are heterotrophic.
In any case, as I said first, I think the experiment is worth to try. However, the reading of the results has to be properly done. Appearance of BBA when increasing B12 and reducing O2 levels could be more related to changes in the Redfield ratios rather than by covering a potential metabolic deficiency, which many algae can supply by symbiotic relationships.
Cheers,
Manuel