Well,
Sorry, your understanding is incorrect. Domain authority is just that, an overall value for the domain. So, if you go to a site where the links all come to a home page or the vast majority do, you are going to see a high PA for the home page PA. If that same site has 50 pages with few links you are going to see a lot of PA=1.
So, while the home page is important it does not outweigh the fact that overall the site is not that highly trafficked. This is a reason sites have trouble with conversions of inner pages sometimes. All the value is placed on the home page and someone then has 500 internal links from that page so it does not even help the inner pages.
Remember this in the search engine world pages are ranked and not sites. So, PA is more important from that point of view.
Hope this clarifies,
Best