As it relates to the OPs question, the BPL kit is more aimed at firestarting (ie. starting a campfire) than a mini Bic because the kit includes tinder (which works excellently) so comparing the two weights isn't really apple to apples.
A new mini Bic weighs 0.41oz on my scale and just the Firelite Mini weighs 0.30oz (BPL claim), so the mini Bic isn't necessarily the lighter option. If you use the Firelite mini + the back of your knife as a striker instead of the 0.19oz striker, then the FireLite mini is the lightest way to go. Plus I would feel comfortable with just one firelite mini, but I always carry two mini Bics. I've had mini Bics fail temporarily (getting wet, getting lint caught inside) and permanently (the flint bit breaking and falling out). So I could actually save some weight carrying just the Firelite mini (0.30oz) vs. two mini Bics (0.82oz).

