look at it from the reverse. instead of asking "would your lake be okay in your aquarium?" ask "would the aquarium be okay in the lake?" if you dont consider temperature a problem, then yes, it would probably be okay. think of all the invasive species that has resulted from people dumping their unwanted fish in the lakes. they're all over the place!
if you Do decide to use a little lakewater, take it from the surface layers of the CENTER of the lake, thats where it's the cleanest usually.
you have to remember that the lake is much bigger than your aquarium, and it wont take nearly as much of a pollutant to throw your aquarium out of whack.
on the other hand. a biology teacher here at ECU takes "samples" from a small nearby lake, and keeps them in several filtered ten gallon fishtanks filled with lake water. he has minnows (which look like zebra danios) and tadpoles, and lots of other stuff.