As folks have noted, adding hydroxide in any form (such as kalkwasser or my DIY two part ultra high pH recipe) consumes a fixed amount of CO2 per unit of alkalinity added, regardless of timing.
BUT, as soon as the tank is placed at a deficit of CO2 relative to the air, the tank begins to pull in CO2. If you dump a bunch of hydroxide, the pH jumps up and then falls back as the tank slowly pulls in more CO2. That might take hours, but not days.
IF you slowly spread out the same hydroxide addition, the jump is proportionally smaller each time, and the CO2 addition from the air is also spread out.
If you add it slowly enough (24/7 drip, for example), the tank will just average a slightly higher pH and you will not ever see a rise or fall back.
Which has the highest average pH over 24 h? I suspect it is the slow addition, but have not actually tried to measure it.