It's wrong. It would only be right if the words were "casement-profile, cornice-profile, and plinth-profile". But then the final word would need to be "plinth-profile". I'm not an architect, but I don't think these words are hyphenated - so there is no place for any hyphens.
You want "casement, cornice, and plinth profiles" (probably). Try to write complete sentences. Sometimes it matters.
"I have a Siamese, a Burmese, and a Tonkinese cat." In your case, it's impossible to say whether the zero article is right.
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