Wow - surprisingly good topic for such a relatively basic part of SEO!
So... I think Todd Malicoat and I still disagree. He likes to have a different title + H1 and claims they're good for rankings and keyword diversity. I largely disagree based on user experience and the relative unimportance of H1s (you can see from our correlation analyses and our ranking models work that H1s appear to have virtually no advantage over just having keywords at the top of a page in large text).
My view is that when someone clicks on a search result listing, they expect to find the thing they've just clicked on. The title is what shows in the SERPs, but if the H1 is substantively different, they're getting what feels like a somewhat different page. That dis-congruous experience can result in high bounce rates and in searcher dis-satisfaction.
In addition, I'm not convinced there's a measurable benefit from differentiated titles vs. H1s. No search engine rep has given guidance on this (in fact, they've stayed conspicuously quiet over the years about whether the H1 does anything at all).
So - there you have it - a small controversy on a small point of on-page optimization. I think the best practice is to do what feels right (neither Todd nor I think the other's opinion will have a negative impact) and, if you're uncertain, test it out on different sets of pages.
My general view though is that there's far better uses of most SEOs time than worrying about H1s