All below can have exceptions, so these are generalities I’ve personally seen.
The 034S jugs generally all KS. There are some exceptions, I have seen one Mahle 034S jug that has the outer fin structure of 034S and an intake like the 036 tears drop.
The 034S has smaller fins. You’ll need to trim an 034S top cover front airdamn if you use an 036 jug.
034S has super flat Ex roof, like the 10mm 044 jugs do. The intake on the 034S is more traditional, not like the 036 teardrop.
The squish is different. You can usually run an 034S jug without a gasket and get around 18 squish. 036 jugs are tighter, around 13 without gasket.
034S have the tightest smallest transfer tunnels of all 1125 jugs. Smallest. The Gillardoni late model 360 jugs, very easy to spot because of shiny AM looking appearance, have the largest tunnels.
The 034S uppers are square and super tight, the 036 jugs are generally more radiused.
Port timing is a bit better on the 034S. It’s a true popup jug. It’s will run right on the tails of a full port job with a popup piston and some off the base.
That’s All I have. See page 1.