In pools, it is exactly the opposite - you want to avoid calcium carbonate deposition (i.e., scaling) to preserve pool equipment and pool surfaces and so you maintain as low a TA as possible. In a reef tank, where carbonate levels are much higher than pool water and pH is maintained at an optimal value of 8.2 (8.1-8.4 range is ok), the bicarbonate-carbonate ion system is much more important in order to maintain the deposition of calcium carbonate for reef health and growth. Borates in the form of borax will also raise pH fairly quickly as well by an increase in the hydroxide ion (OH-) concentration. This is why it is not recommended to use baking soda to raise pH, it's too slow. Adding washing soda (sodium carbonate) to pool water will result in an IMMEDIATE pH rise because the carbonate anion (CO3-) will instantly consume a proton to form bicarbonate (HCO3-) since the carbonate anion is not stable at pool pH levels. Adding excess baking soda to pool water will add more bicarbonate to the water, and that shift in equilibrium will eventually show up as a rise in pH (if aeration is present and CO2 outgasses) but that is a very slow process. For the sake of analogy, adding baking soda (sodium bicarbonate) to pool water is like adding a tear drop to a 5 gallon bucket of salty pool water - the tear drop has higher salinity than a drop of water from the bucket but it will not change the salinity of the total bucket of water much. At typical pool pH (7.0-8.0), the dominant carbonate species is the bicarbonate anion (HCO3-). Pool water is highly over-carbonated relative to the atmosphere so there is always a huge chemical driving force for CO2 to outgas from the water. Both contribute to the alkalinity and pH buffering at typical pool pH values and changes in either will change how much acid or base is needed to move pH in one direction or the other. Borates become significant at higher pH (pH near 8.0+) and cyanurates become significant at lower pH (~6.4). PH in pools is actually much more complicated than in aquaria as there can be three species which dominate the pH buffering in water - dissolved inorganic carbon (carbonate/bicarbonate/aqueous CO2), cyanurates and borates. Reef tanks and fish tanks are very, very different from pool water to the point where practical analogies are difficult to make and of little value.
Please don't use examples from fish tank chemistry.