I have given instruction in both...I didn't like either one until I had a few hours in them. Both are decent aircraft and have some upsides and downsides. The 162 is a more "standard" aircraft but not by much. The Remos didn't have to live up to the Cessna traditional image of a Continental engine and aluminum airframe. The Remos is a better performer by a noticeable amount. It handles more quickly and lightly. It is faster in climb and cruise. It's take off and landing performance is excellent (put a set of VGs on that thing and you could embarrass some Cub drivers). The Remos is also a kite and is demanding in windy conditions, like any lightly wing loaded aircraft.
The 162 carries it's fuel in the wings like god intended (not right behind the pilot's ass) and has the inventive dash mounted stick that make entry and exit easier without giving up the stick. Over all the 162 is easier to get in and out of. The 162 has a cavernous baggage compartment (Remos's is very small), and though it doesn't have a lot of payload (Remos's is pretty good) I am sure that the 162 was designed to carry more than the Light Sport gross weight (I am not in anyway suggesting you do that).
For me, if I was flying for fun or primary instruction, I would go with the Remos...it is a better teacher and is much more fun. If I was actually going to use the airplane for going anywhere, I'd take the 162 because it has better baggage and is a little more stable, with better avionics.
My two cents