The The Aquamaxx is using an Italian made Sicce pump. Well known for it's reliability. The Skimz uses a what brand pump? Also I wanted to add that since the pump is not in the body of the skimmer, dwell time is much longer and maintenance is so much easier. I have owned both brands.
Build quality is a toss-up.
Design I give a slight edge to Skimz as it has a smaller footprint.
Pump quality I give to Aquamaxx.
Skimming ability I give to Aquamaxx as it is larger, processes more water and has longer dwell time due to utilizing the entire (pump not in the body) reaction chamber.
If restricted by sump size, I always would choose the Skimz as no skimmer ban give you more in the footprint that it is in. Their skimmers are no more than 1" larger than the cone with nothing hanging off the side.