I think I confused you with how I stated it.. sorry. What I meant to convey was that the pistons/rod assemblies are now so much lighter that the crank also needs to be lightened. And the changes with the KB pistons/pins means that the crank should be re-balanced with 2138 gram bobweights (unless any parts are lightened in the process). My stock 340 bobweight numbers are 2308 grams; so that is where the 170 grams difference is from.
I don't mind you asking for some confidence, and that is wise. I have gathered the info for 2-3 years now to go into SBM bobweight computations, and have a spreadsheet setup to run the bobweight computations, which are standard formulas that you can find, and which have been used for decades. I have also directly measured stock 340 rods, pistons, rings, pins, and locks, and the KB243 pistons, rings, pins, and lock. So all the numbers used have been directly confirmed at this end.
I have done balancing of the pistons/rods myself, and have gotten to the point of finalizing bobweight and just handing that number to the shop to do the crank balance. So I feel that I have the knowledge to give you the straight poop.
If you want the actual numbers I used so you can ask others, I'd be happy to send them along; this is not a trivial matter so IMHO taking it carefully is a good idea. The whole goal is to get any vibration issues resolved.