If I'm understanding your question correctly, the answer is no. The periodic statement is required for closed-end, consumer credit transactions, secured by a dwelling. So, all of those elements would need to be true to be applicable. If it was a closed-end loan that was not securing a dwelling, for example, it would not apply.
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My opinion, take it for what its worth. Opinions expressed are my own and not those of my employer and are not legal advice.