Gavo,
I really want to make sure I understand you so I'm going to use a quick example. Say you have a hardware store website. You have interior pages for plumbing, lawn care, etc. You want each of those pages for the different departments to rank as best they can, correct? I feel like the answered marked "Good" is actually not the best answer for what you are asking.
Well the best way to do that is not _jus_t by linking to your homepage. So long as they are healthy links, having a website that blogs about your lawn care equipment and the amazing prices with a link to that page is going to help that page rank higher for that term. If you just have them link to your frontpage which is directed toward the business name and "hardware" you are going to the long way to the top of google.
Yes, having tons of really good strong links to your front page will give your site more Domain Authority and trust and will help your interior pages, but not nearly as quickly as if you actually have multiple links to each of the pages. Just taking a pages Page Authority from 1-2 to 25 with a really strong Domain Authority can get you to the front page so long as the page is optimized and has a good amount of trust and links.