You are correct that most nurseries sell something called along the lines of cactus and/or succulent mix etc...
Most of us find that even that soil tends to be on the rich side and can stay wet longer than desired unless it is amended with something along the lines of pumice, which tends to be a component of these premade soils, but since it is relatively expensive it is rarely added in large enough proportions to be truly useful.
Due to the quarantine I have had to get some of the more expensive cactus and succulent soils because I also needed to get pumice at the same time and the Big Box stores here do not sell pumice, so I did a curbside pickup at my local nursery and this more expensive soil is definitely better, not sure if it was $21 vs. $6 better, but I did not feel the need to add 40-50% pumice, I only added maybe 20-30%, so at least the pumice I got now can be used to amend more soil...
