Does having open front/rear diffs mean I can't do any 4wding? No matter my 4wd set up is(more info)!?

I got a v6 hilux ,new 33"12.5" muddys, 2" body lift,3" shock lift will It be able to perform in all 4wd terrains?or are LSD or lockers a must have? Does having open diffs make my 4wd usless? My mate has same set up as me but has a LSD rear will he be able to do way more I can?(hilux LSD)