Should there be a distinction between bludgeoning, slashing, and piercing damge?

Just a little thought experiment here.

In almost every case, there isn't a mechanical distinction between the three types of "ordinary damage." There are some exceptions to this, like Skeletons (vulnerable to bludgeoning), and Black Puddings (immune to slashing), but this isn't very common.

So, my question to you is, do you think that D&D currently supports the distinction between them enough to be 'worth it'?

If so, why do you think so?

If not, why not? What could be done going forward to support this distinction better?

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I know "damage" is spelled wrong—it wouldn't let me post otherwise because it contained "AMA." Is that something we can change?

EDIT: I'm getting downvoted for this. Is there a particular reason people don't like this question?

I'm not in the negatives anymore, but some of the vitriolic reactions are still surprising. Can we just enjoy a fun thought experiment about a game we all love without taking it as a deep criticism or whatever?