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I have two sites in particular where I have the control--as they're mine--to do whatever I want. I title the page "Acme XYZ Widget," put "Acme XYZ Widget" in the <h1> tag, and repeat "Acme XYZ Widget" as often as possible in the page text. Keyword density on the pages is 2% on the low end to as much as 20%.
Both of these sites are in moderately competitive industries, and both sites rank on the first page for just about every keyword and keyphrase that I want. One phrase in particular ranks #1 out of anywhere from 18,000,000 to 47,000,000 results on Google (depending upon how many results Google claims to be returning on any given day). I'm even in the #1 spot for one "Acme" company name, with the actual company's site coming in #2. I even rank #1 for a very generic term, such as "hardware stores" (that's not the term, but I don't want to violate the TOS here). And I didn't even optimize the site for that term.
I have SEO clients whose page titles say "Fun Resorts," have no <h1> tags, and the page content mentions "exotic condo rentals," "resort swimming pools," and "exotic real estate."
I want to scream at them: devote one page to just one keyword or phrase, and hammer it home.
Maybe I'm behind the SEO curve in thinking that way, but it's worked well for me. Why mess with success?
If other SEO specialists would like to criticize what I've said above, I'd appreciate hearing those opinions.