There is no such thing as a perfectly optimised page. Search engines such as Google do not want to return the most optimised pages with regard to your search, but they will return results showing sites with the best content that the user is looking for.
If you have a page title and H1 header that are exactly the same, and all of your internal links and all of your inbound links from other websites pointing to that page use that same text, then that is going to look like attempted rank manipulation. As a result, the search engines may penalise or filter that out of their search results.
It’s best to mix things up a bit and create something that markets itself. Or, try looking at things like a search engine evaluator would. The more likely the content is to be of low quality or related to spam, the more likely search engines want to mark it down. Search engines may want to penalise the use of “spammy” sites using a H1 header, so instead people use an H2 header for the highest level header tag on the spammy sites.
Maybe they look to de-weight site-wide links to the home page near the end of the page code using the exact same link text as the home page’s page title, so instead you link to the home page from earlier in the page code and/or use slightly different anchor text than your page title and most of your link profile. Keep in mind that some of the search relevancy algorithms are genetic algorithms that train themselves to test the relevancy of new result sets, but humans still program them.
Google wants to have a bias toward informational resources. Yahoo! will be more biased toward commerce. These biases can affect optimisation, as well. In addition, some guys like Neil Patel mention lots of subtle tips like the ones I just discussed. If you think like a search evaluator, those techniques that are common in SEO and not so common on regular websites are the most likely to be de-weighted or penalised. Remember that optimising content is about matching quality signs, but if you match too many too closely, it could send a negative signal.
The best advice you could receive in regard to your SEO is to ‘Appear Natural.’ Google want to take the searcher to the best websites with the most informative pages. SEO is evolving and it’s only going to get more challenging getting to the top and stay there.