It's sear overlap that's responsible for the long trigger pull in both Gamo and original Supersport triggers. If it's very long as in all Gamo and some BSA it can't be polished out IME, you have to grind the sear to reduce engagement. If your BSA has a little creep polishing can help. A wonky chassis and overtightening the rear stock screw can also introduce some creep on older BSA's. Installing a CDT blade on a new Lightning will give you a true 2stage fully adjustable trigger that will probably be better than the very best old style BSA.