BHW pistons are 81mm STD and that makes them a 2.0 engine. All the 2 liter engines have larger crank/ connecting rod journals; 53.7mm compared to the 1.9 crank/ rod, which is 50.6mm.
The wrist pin end is the same size for both engines, but the BHW pistons are tapered journals, so, if you use the BHW pistons, the ASV rods either have to be modified by cutting them into a taper, or you have to buy rods that are cut tapered. Beginning with the BEW PD motors, and all 2.0 liter engines forward, have the taper-cut rods.
The other difference between the ASV and the BHW, besides diameter, is the ASV pistons are .008" shorter. So, if you are using the ASV block, it is likely that the piston height for the BHW will be too tall, without having to modify the BHW piston top.
Both pistons; ASV and BHW are oil galleyed and may require that the oil squirts be aimed carefully, in order to direct oil into the piston's galley hole.
The only other difference I can think of is that the ASV piston is 19.5:1 compression ratio, while the BHW is 18.25:1. When considering performance, the lowered compression has it's place. More chamber, bigger charge, dynamic over mechanical compression can be improved.
Given all the differences, the end results are quite different. As a rule, I prefer the BHW piston. We stock the pistons, balance in sets and often install our performance diesel rings, for improved longevity and reduced parasitic drag.
As for the blocks, the dimensions are the same. and there is no difference between the crank main bearing dimensions. Either crank can be used. But it could be assumed the larger rod journals of the BHW crank are an improvement.
One other difference... the 53.7 rod bearings are of course, larger, but they do not come with tangs and they are sputtered bearings, which is a plasma coating on the top bearing shell. The deposit makes the bearing very durable.
We have seen the bearings incorrectly installed. The bottom bearing is the same material as any; a tin coating only. The bearing that goes into the connecting rod itself, is silvery and a lighter color. Incorrectly installed, the bearings will not be any more durable than a standard set of bearings. The sputtered bearing life expectancy is well over 250,000 miles.