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After more than 13 years, and tens of thousands of questions, Moz Q&A closed on 12th December 2024. Whilst we’re not completely removing the content - many posts will still be possible to view - we have locked both new posts and new replies. More details here.
As long as you know that the h1 tag is the most important to SE's and that it contains the page's most valued keyword then I don't think the structure (h1 before h2) matters. However your proposed structure is semantically incorrect and as we move towards the semantic web, you should adopt stricter structures.