Correct, akadama itself is not acidic but it's ability to rip certain ions out of solution is what makes it make water/soil acidic.
Akadama, like many similar clay products, has an extremely high surface area which makes it adsorbtive. That's not a typo. Adsorption is the adhesion of atoms, ions or molecules from a gas, liquid or dissolved solid to a surface. This is called having a high cation exchange capacity or CEC. A cation is an ion with a positive charge and an anion is an ion with a negative charge.
Calcined (high fired) clay products tend to remove +2 ions. Two of those in particular are calcium and magnesium. Ca and Mg salts are what make your water or soil hard & basic (sodium, too) if there's a lot of them, or soft & acidic if there's very little of them. Akadama has this affinity and can make your soil acidic but in a good way.
Succulents, however, have different needs. Because they evolved to get a lot of sun as well as numerous other measures against extremes of heat & drought, they need more of these elements than most temperate plants do. Mg for making chlorophyll and Ca for opening and closing their stomas, the little pores on the leaf that let in/let out water vapor, CO2 & O2. Succulents pack a lot of Mg in themselves because they've evolved curved surfaces to capture more light without cooking themselves but that means more chlorophyll which means more magnesium.
Also, succulents have a weird way of photosynthesizing: They do it at night! Read up on CAM or crassulacean acid metabolism. It's quite incredible! To do this, they basically hold their breath, that is, they keep their stoma (pores) shut all day then open them up at night and begin the process of making starch. This requires as much calcium as they can get.
Anything you do to remove these two precious elements in particular will make the surrounding soil/water more acidic which includes akadama, though it is itself not acidic it certainly does have the capacity to make soil/water more acidic. Not good for vast majority of succulents.