I'm kind of lost here, you test the card on two different PCs (that 386 from first post and some other Pentium system) and I don't know which one you're taking photos from.
Well the last BIOS photo must be from P1 system, it's pretty new AWARD BIOS that supports LBA, so can't be 386. I'm not sure if XTIDE is compatible with such new mobos?
Does it still hang on 386? You have only one 8KiB chip on this card? The lower one? And it is set to D000 segment with write disabled? I'm not familiar with this card, is there a difference between upper and lower socket? Try swapping them around. Also, set the other, unused socket to address D800, although I don't see how it would be a problem if the socket is empty.