I think it has become harder and harder for smaller brands to really stand out in any kind of search. This is especially true with small brands who face lots of competition form other small brands in large cities. How does one build name recognition in NYC as an acupuncturists when any given building may house 3 or 4 practitioners with the same address. Then these small businesses are facing the Google Possum filter. And in some cases brands without websites are showing up in the three pack over highly optimized websites.
H1 and H2 title tags are names for the two most important types of titles in your website. H1 tags are your main titles – usually large or bolded on a website, and at the top – and H2 tags are secondary titles that clarify your main title, or might be the titles to different page sections. To utilize these sections effectively, you can use the format “Business | Keyword” as your H1 tag. For example, if my business name was “Emily’s Images” and my keyword was “Atlanta wedding photography,” my title would look like “Emily’s Images | Atlanta wedding photography”.
As pointed out, they are certainly not the same, but it might not be a bad idea to track and report on the direct traffic. If there has been outreach done and the company is mentioned in print with a URL, direct traffic (along with some search traffic on the URL or business name itself) is likely to go up. If your email newsletters are not tagged, they're likely to show up under direct traffic. Depending on your role, some of what you do under the greater SEO/inbound marketing role can show up under the direct traffic.