If it was powered up at the time then it is highly likely that you've got some extensive damage. PSU's are the least likely to fail surprisingly. In modern equipment which uses closely packed surface mount components spilling liquid over "live" components is the equivalent of shorting all of the legs of each component together. Which basically means you run the risk of power going down the tracks of audio circuits

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If its limited to one pcb or area then you may be lucky and get away with having a few components on the faulty PCB replaced, more than likely the Op-Amps will need looking at.
Of course, you can try and salvage or "clean up" the inside of the mixer, you've got nothing to lose by trying and you could get lucky. Use Isopropyl Alcohol to remove the sticky residue from the PCB(s), pay particular attention to cleaning between the legs of the I.C's and components including edge connectors and bus connectors. ( Take time over this since Even if the mixer works immediately, the slightest bit of conductivity can cause shorts and crackles or poor audio in the weeks to come). Squirt switch cleaner into switches and faders, although if any faders have been contaminated then consider having them replaced, since they are very difficult to clean internally.
If he has insurance consider telling him to make a claim, it's likely that if the internal components have been seriously damaged that a dealer would term it "Beyond economic repair" in any case!.