The texture/model of crying obsidian is rotated randomly on Bedrock Edition. However, it is not randomly rotated on Java Edition, giving way to this parity inconsistency.

The random rotation of crying obsidian (as well as glowstone) can be seen at 5 minutes and 38 seconds in this ibxtoycat video: https://youtu.be/F4URvpHyov0

It may also be worth noting that there are several other blocks from before 1.16 which are similarly affected, namely coarse dirt, glowstone, obsidian, clay, terracotta, all stained unglazed terracotta, magma blocks, sponges, wet sponges, sandstone and red sandstone, which could be similarly fixed in conjunction with crying obsidian's case.

Also visible is the fact that the sides of said blocks are rotated in Bedrock Edition which does not at all happen in Java Edition. Again, this is a completely different parity issue which has existed before 1.16. Netherrack appears to have side rotation or flipping worked out, so its model could be applied to dirt, sand, gravel, and all the blocks from the above paragraphs (excluding sandstone and red sandstone) to achieve parity for these blocks.