Do you mean too sticky the static page on the main index.
So if i were to go to example.com i would see your static page?
You get duplicate content.
If you publish a page, it will get a url.
For example every WordPress comes standard with an about page.
example.com/about/
If i were to sticky that page on the main index page, you'll have the same content twice.
On "example.com/about/" and "example.com/"
That could really confuse a search engine.