I would have expected it to use the texture it had back in 2011, but this is not the case.
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Thank you for your report!
However, this issue is a Duplicate of MC-169889.
That ticket has already been resolved, which means this is not considered a bug and won't be fixed. Please do not leave a comment on the linked ticket.
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@Greymagic27
That ticket states thatΒ new textures won't be added. However, crying obsidian has existed in the past, and isΒ not new. The logic behind the supplied ticket is that Mojang will not create new texture and only apply them to old blocks, and crying obsidian is both a block that already existed and won't need a new texture. The only difference is it was removed at one point, unlike the other programmer art blocks.
I do not believe that ticket should apply to crying obsidian.
@unknown - But the block never had that texture ingame. It's like asking them to put in the pack internal textures that were never released.

This has been fixed in the latest snapshot anyways.