Yeah. anyway powered mixer is for those who wanna save space. so instead of getting another Amplifier to drive the speakers (house or Monitors) they get power mixer so that they kinda save space. obviously theres pros and cons hope this helps.
and for recording. make sure you have enough channel as in you thought about the size of a mixer. cause you might need like 8 channels somewhere there just for drums. guitars ? bass ? vocals ? Keyboard ? so you have to really plan ahead.