In reality, it looks like this: you always take the calculation that results in a lower amount and then wonder why the money is not enough.
But seriously, as RobsonMKK already says, the crux lies in the extremes. With a standard ceiling height, it should actually come out the same, whether you calculate by volume or area. In the bathroom, there is only a bathtub, a shower, and 2 sinks. Whether the bathroom is 75m² in size or has a ceiling height of 7.5m, the calculation never adds up and neither scales with area nor ceiling height. With area, I need more flooring, with greater ceiling height more "wall". Maybe it makes sense to calculate your costs using both calculation formulas and then consider that the truth lies somewhere in between. I would go so far as to claim that these are not actually calculations but cost estimates with certainly 15-20% leeway up and down. This cost estimation is one with which the architect can say during the initial consultation which direction it is going. The actual cost calculation takes place much later.