Well, not so much! As an influence? More like summer houses in northeast U.S.! Unknown architects mostly. I've seen many FLW houses in person, including in Oak Park, Chicago area. That's an original design of course..
He was a true genius, learned the rules and broke them, and, along with craftsman bungalow style, he helped develop a truly American style of design, suitable for our climate, not Europe. Excellent draftsman too, along with the Griffiths, a couple he employed...