A lot of my die sets are mixed brand. Some things I like about each brand recommend them so I get sets, mix them for what I want to do, then either give away or hang onto the odds-n-ends until I have a purpose for them. My .45ACP die set, for example: Lee Universal Depriming Die, Hornady sizing die, Lee powder-through expanding die, Hornady seating die, Lee Factory Crimp Die, both Lee and Hornady shell holders. Oh, and I prime on a Frankford Arsenal hand primer. I make good .45ACP and .45AR ammo without any worries because each die does exactly what I want and nothing that I don't. I know, I'm kinda lazy and weird that way but, it works for me. YMMV.
Bottom line: if you find dies that do what you want, the way you want it, it's okay to mix brands and styles to make your own set.