IMO the HP is made to consolidate your branded keywords.
Title Tag is a precious piece of your SEO arsenal. It needs to be perfect and nothing less.
You need keywords and copywriting in less than 80 characters. There is no room for your brand name.
Furthermore your brand name appears in the URL (usually) and you can add it all you want in the META Description.

In short, optimize your HP’s title tag for your brand name and baseline.
Leave your brand name out of all the other pages (except Contact page, etc)