I cannot agree with the part in bold. A $20 machete is going to work better. I do agree with the rest though (almost)

But that's besides the point. A knife is just not going to be good for chopping.
What is it exactly that you want to do anyway? One tool for everything? Or the lightest do it all set? Maybe Rambo style?? I've found that, for me anyway, I like to have a machete/hatchet, a hand saw (maybe skip the machete or hatchet) and a folder or small belt knife, for making fire and gathering wood. If I need more I grab a chain saw and a maul, splitting wedge or axe. Tomahawks are for throwing