I have heard all 3 of the terms. Supposedly "flathead" came from the ford V8 because of the flat heads vs the looks of other automotive engines. All the briggs literature i have seen calls them L head. If you want to work on a fun engine work on an F head engine.Good for you! Not every manufacturer uses that term. When I grew up we often called them flat heads, but when we got corrected by the guys who had a different term we started referting to them as under head valves, for that is what they are. I've also heard them referred to as "valves in block".