There's a site that publishes the knife choices of every contestant for every season. There have been several LTWK Genesis, Mora companion, BK7, and kukris. A couple seasons ago contestants started bringing a Leatherman or SwissTool in place of a smaller fixed blade. Interestingly, this current season 5 is the all star season and several of them chose a Leatherman this year instead of what they chose the first time. I know there is a Wave, Super Tool 300, Charge TTi, and Rebar this year. (Next few sentences of this paragraph are spoilers.) One girl got a barbed fishhook stuck in a tendon in her hand, she couldn't remove it. She did not have a MT, but if she had she could have used the pliers and wirecutters to get that thing out.
The MT is fine here when you can still have a saw and large blade, either axe or large knife. Pliers can be very handy. The little saws are good for traps. And the flathead driver and can openers are modded before going out into a chisel and spoon gouge to craft bowls, bottles, spoons, blowers, etc. Some of these people are very creative.
Last month I took advantage of the Leatherman anniversary sale and got a Charge+ and Rebar. This was partially inspired by this show, partially by my brother-in-law, a Marine, who always has a Leatherman on him, and partially just on my evolving preferences. I've had a Wave since 2004 that is fine. The Charge+, with a CPM 154 locking blade, is especially nice.
To wrap this up, it makes more sense to name your entire system, rather than just the knife. I'd bring a 30" bowsaw, a Junglas (or any similarly sized large knife/kukri) and a Leatherman Charge. This is very close to what I use now, just a super sized saw and blade. I already use large knives in place of an axe/hatchet now, when I have access to axes anyway. No reason to change.