Look at wattage like horsepower. A locomotive pulling 30 filled cars can go from A to B in a specific length of time IF the train doesn't encounter any hills. A locomotive with 1100 horsepower can pull the same 30 filled cars in way less time and if the train encounters some hills, no sweat. That 1100 watt micro will do about twice what the 800 watt lil brother can do and in less time.
I do remelts all the time in my 1100 watt unit. I add about 1/8 cup of raw plastic and some stabilizer to the raw, then add the scrap plastic which I dice mine up with some shop shears. In a minute I have plastic ready to go.
I bought a new, GE, microwave for just this purpose for right around a c-note.