Almost time for the machinist!

Plymouth 65 said
Incorrect, the refurbished crankshaft was factory balanced with a certain set of rods and pistons. You're charging all that so it requires balancing. Factory balance was also not the as precise as it will be done by a competent machinist. 65'

A production crank balance is done to a standard bobweight or some other standard to duplicate that. And in production, I don't know if they even actually attach bobweights or use some other, faster technique. The tolerance of standard crank balancing is pretty loose (something like +/- 15 or 20 grams as best I can tell), so even with the pistons and rods, etc. exactly at the nominal standard bobweight, there will be a variation on the resulting balance. I SERIOUSLY question if reman cranks get rebalanced at all.

If the OP is not changing component weights and not straying from the standard factory bobweight, then his resulting balance will be no different from a factory balance tolerance. Any subsequent balance work is just to tighten up the match of the crank balance to the actual rods, pistons, etc. But it is not by any means absolutely necessary for 'standard' builds IF the component weights are managed to stay near the standard weights. That is the point of using a piston like the H116CP at a .020-.030" oversize: it is very close to the stock 360 piston weight, and the pin weight is identical to stock.