Our version of the FAL wasn't an 'L' anything. It was a C1, C1A1 or C2.
"...and Canadaicon I believe..." The Brit L1A3 is the same as a C1A1 bayonet. Mind you, so are the L1A1 and 2. Bayonets in the CF are parade things and only under special circumstances.
Have a look here. You can click on the pictures to actually be able to see 'em. SLR bayonets