That paper is very complicated to interpret, but I'm not sure it says anything unexpected.
I'll note first that it is not seawater, and uses nutrients far from reef tank conditions (>20 ppm phosphate, for example).
Most importantly, it does not mention alkalinity, and pH is not a useful surrogate measure for alkalinity if CO2 values are changing. One can lower the pH of seawater to pH 5 with CO2, and that has no impact on alkalinity. Similarly, removing CO2 from seawater will raise the pH but have no impact on alkalinity (at least until something like magnesium hydroxide precipitates).
I discuss that (T
he Principle of Conservation of Alkalinity) here:
Randy provides an overview of alkalinity as to why it's important, how it's measured, and how can it be tested.
reefs.com
In the paper you posted, they note that
"The introduction of a citric acid solution to the system contributed to a decrease in wastewaters pH value from pH 7.60 to pH 5.5 (Table 3). The consumption of citric acid by microorganisms and CO2expelling as a result of aeration was accompanied by an increasing pH value, which in the treated wastewaters accounted for pH 8.24–8.37 in Variant 1, for pH 8.11–8.36 in Variant 2, and for pH 8.25–8.32 in Variant 3 (Table 3)."
Thus, I do not see clear evidence for an alkalinity "change".
But I think there is likely an alkalinity increase due to the potential for denitrification, which they say they are trying to minimize, but give no data on the extent of it happening. Denitrification raises alkalinity.