I'll add even more to it than this
A fresh water skimmer CAN work... I have one working and am starting to think about shopping it around to see if one of the bi companies will buy it.
As has been said, if you use a marine skimmer in fresh water, you get very little in terms of results. The reason is complex, and is to do with surface chemistry and dipoles, but essentially it comes down to the fact that:
a) it is difficult to make small enough bubbles in a given time period and space to make it effective
B) there is a much smaller osmotic effect due to lack of salts in the water
However, this can be countered by using a different mechanism to create the bubbles, specifically a special bubble plate that a company in the US produces that produces incredibly small bubbles, smaller than a standard marine skimmers, and also using a coil with an alternating charge in it wrapped around the skimmer column to add a charge to the water, to replace the osmotic effects.
On my 1200l tank I was getting about as much skimmate as my friend was on a 1,000l marine tank and fish were in amazing condition.
There ARE however, issues:
column is 2 foot 4 inches tall so isn't for everybody
CO2 is ripped out due to the massive gas exchange, so plants do very badly indeed. Also, there is virtually no nitrate, and fertilizers go through a reduction process ( becuase I was using Ozone as well ), so you need to consign yourself to having no plants.
Still more fiddling to do in an attempt to make the column practical, but hopefully you'll be able to buy one soon.
Steve