Rotating assy balance

Hey Guys, More naivety,
So I got some H116cp to go in this 360 I'm trying to build. I took it all to the local guy for balancing.
Tonight I was going to start ringing up the pistons. As I was pulling the parts out, I noticed some huge differences in the rod caps so I pulled out the ol' kitchen scale and started weighing things. I weighed everything three times.
I thought everything should be within a gram or so. This is shocking! Somebody please tell me this is how it's supposed to be. I won't believe you, but try. Note how the machinist says I need
View attachment 1715747163 View attachment 1715747162 to switch some of the caps to different piston/rod assy's, but only four, what about the other four? None of the weights make sense to me. WTF?
If I assemble it with the correct caps in place the weight is 8 grams difference from low to hi. With the difference in material missing from the rod caps, how can the big end of all the rods weigh close to the same? Visibly 20 grams between 5 & 6. What does that do for the reciprocating balance? This doesn't look right to me from any angle. Help!
*That's supposed to be #1 cap on #7 assy.
Looks pretty sloppy to me. I would either be weighing them myself or do some complaining. I do not believe rod caps can be that far off in weight verse mass. I have balanced my share of engine some in my work shop and had parts checked and final balance done at machine shop. A couple of times I had to switch to a different rod assembly because 1 or 2 were so far off from the rest and also had to rework some to get the equalized set, but I NEVER settled for anything that looked like your mess. What's the purpose of balancing if you have 80 grams of variance? That's not a balance job ! Factory tolerance is one thing but not balanced ! Weigh the caps, weigh the rod beams, weigh the pistons, rings and pins, weigh the bearings, Mark those to go in the same rods later weigh the assembled rods with bearings and get them the same both ends and total weigh the pins by themselves, the pistons by them selves the ring sets the same after you get the gaps set and keep them for each piston cyl. write it all down and give it to the machinist. If he insists on weighing everything himself, fine but you are paying for a balance job so expect it. To your satisfaction.