Why is the use of h1 - h6 headings in layout bad for seo?

Question

Search Engine Optimization

One of the SEOs told me this thing. They say I almost never have to use headers. Since the search engine focuses on headlines and other nonsense, it seems to me.
Here's an example from the code:

<div class="priceTable">
<h3 class="priceTableTitle">
Тариф По трафику
</h3>
</div>

<nav class="topMenu">
<h2 class="topMenuInnerTitle">Каналы привлечения целевых посетителей</h2>

<ul class="listNull">
<li><a href="#">Поисковая оптимизация</a></li>
<li><a href="#">Контекстная реклама</a></li>
<li><a href="#">Медийная реклама</a></li>
<li><a href="#">SMM</a></li>
<li><a href="#">E-mail маркетинг</a></li>
      
    </ul>
</nav>

These are just a few. Everything is laid out according to html5 semantics, and there, for example, there should always be headings for section elements .
And if I have a block with news, which also has headlines, are they also in divs?
But what about just the semantic part of the layout. When an element actually has a heading, what, should I translate everything into divs?

Answer 1

They should be used where necessary.
And read more

Answer 2

Man from Google https://www.google.ru/webmasters/docs/search-engin...

Answer 3

Duplication of titles on different pages, keyword spamming in titles can damage. As far as I remember, it's not good when there are several h1 on one page. Well, various subtleties still exist in the form: Headings H1 and TITLE. Whether to make them the same or ... And so, if the headings on the page are necessary and useful for visitors, then put them correctly structuring the content, and if they are not needed, then do not put them. It's just one of a couple of hundred ranking factors....