Nice thought, but I doubt it somehow. Sounds more like an American generalisation: we are all ecofriendly bunnyhuggers; lakes are decorative parts of the natural environment;
Lake sounds unfinished as a name; lots of names end in N, like
Martin and
Jane; let's turn
Lake into a name by adding an N.
There was a brilliantly irate poster on a Babycenter poll recently who said: What if you have other children? Would they be Brooken, Creeken, Marshen, Streamen ...?
Laken is also (bed)sheet in Afrikaans, by the way. What would a small
German sheet be - ein Lakenchen?