I was distressed by Posts which assert that non-space units ignore skipping damage type weapons (I'll explain why, later) and decided to test it myself. As I see now this test was useless, but I'll post it anyway.
So, indeed armor skipping, shield skipping, armor and shield skipping and "all shields skipping" weapons only inflict normal damage, and shield points act as normal hp. Shield depleters don't work at all. Damn, now I have to change significant part of my offensive strategy in one of the pbw games
But the Last test was the most interesting one. Description:
Side 1: 4 BA armed with PPBs (3000 dmg at point blank).
Side 2: sphereworld defended with 60 WP of 3 types:
1) 20 Med WP ("Type1") with Phased Shield Generators V (3000 phased shield points + 330 hp from comps = 3330 hp total);
2) 20 Sm WP ("Type2") with Shield Generators V (1200 shield points + 170 hp from comps = 1370 hp total);
3) 20 Lg WP ("Type3") without shields, but with weapons (910 hp total).
Battle:
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Turn 0. In cargo: 20 Type1, 20 Type2, 20 Type3. Destroyed WP: 0.
Turn 1. In cargo: 20 Type1, 20 Type2, 8 Type3. Destroyed WP: 12 Type3 (least hp).
Turn 2. In cargo: 20 Type1, 16 Type2. Destroyed WP: 8 Type3(destroyed first), 4 Type2 (with medium hp, destroyed later).
Turn 3. In cargo: 20 Type1, 8 Type2. Destroyed WP: 8 Type2.
Turn 4. In cargo: 20 Type1. Destroyed WP: 8 Type2.
Turn 5. In cargo: 19 Type1. Destroyed WP: 1 Type1 (most hp).
etc, untill all WP were destroyed.
I did another test with 2 BA, but with the same result: choice of unit on planet to destroy is not random at all and the rule "least hp - destroyed first" still works with no exceptions. Double damn, now have to change WP defenses for a few dozens of planets in another pbw game