I am not convinced - I suspect that there isn't anything to the experience of being like a worm; that the very question presupposes self-awareness of some sort. I suspect the hard problem of consciousness might lie in the self-referentiality of self-aware consciousness (though alternatively or in addition, it might be on account of its workings being inaccessible to introspection.)
But our consciousness goes beyond simple self-awareness: having a theory of mind is a step beyond (and is realizing that others have a theory of mind a step beyond that?) Our own experience of our own consciousness is several steps removed from what a worm might experience.
> We need new words - or wider usage of existing ones.
Yes; I think the words we use are definitely an issue, perhaps because we don't remember what it was like to be an aware, but not self-aware, infant. To some people, anything that responds to external stimuli is conscious, while to others on the other extreme, consciousness entails being able to verbalize it. This might be the only case where the Sapir-Whorf hypothesis is actually correct - that our ability to think about the issue is constrained by our language.
In short, I think the author of the article made heavy weather of the issue by conflating consciousness with simple awareness, and not recognizing that meta-consciousness, and perhaps even an awareness of meta-consciousness, is an essential part of what distinguishes what is commonly meant by consciousness from mere awareness.
In case I haven't made myself clear, I don't think the hard problem of consciousness has been solved by invoking meta-consciousness; on the contrary, I think that is where the difficulty is most apparent.