No, some model's ignition switches are the same as yours, and some are very different, providing different functions than your L needs.
If you can't find an ignition switch from any of the sources listed in our forum's "sticky", then your best bet is to find an ignition switch for one of the older tractors; check the wiring diagram for that switch and verify that it is the same as yours. If the terminals are the same, then that switch will probably will work for your L.