The L1 head will NOT work from 3 to 9volts. The KL3 will, and possibly the KL1 (note the KL1 is different from the L1 head). Flashdark is correct that the L1 head is "dumb", meaning it has no electronics in it. This is why the L1 light itself is longer than other 1 cell lights, as it contains a "coffin" with the electronics in it. If you like a smaller body, you can direct drive some L1 heads off of a 1 cell body (such as the E1e body) with a minimal decrease in brightness.
-Mike