so I have the korg kaoss pad. I don't use it nearly as much as I do my computer when it comes to making/creating/recreating music, more so I use it to kinda dick around with songs I've made (but the dicking is never re-recorded so it's just having fun, wasting 5 minutes or so). I have used the sample option to load up loops and tried making a song using the sample bank/loop edit thing but again, I've personally found it easier just to use a computer to do these things. It does come with nice effects, it's just rather difficult to incorporate them properly into a mix (or perhaps I'm doing it wrong).
Anyways, you have the right info in terms of kaossmini just being extra effects and both support ac power.