The safety on the Carcano has nothing to do with the sear/striker arrangement instead releasing spring tension off the striker preventing it from moving forward when the trigger is pulled. If you squeeze the trigger and push on the cocking piece it will go forward, just without spring pressure. Honestly it is a very poor safety design and realistically they would have been better doing what the Frenchicon did and simply not have a safety instead of having that poor system. The only worse system I can think of is the Mosin Nagants, but at least those don't have the potential of firing when on safe (even though with a Carcano you would have to try to do it, you can still do it).

Unless it is going forward under spring pressure the safety is working as it was designed.