I think Cargo Crate was a closer match. Mute Fruit's only similarity is the stencil breaks... and if you think about it, the
Country text really isn't in a stencil font at all; it just has a break in a few letters (less than half). I really have no idea why it even has those breaks.
When you mentioned the stencil style, and specifically the Cargo Crate font, I began to think of the way different labels are sprayed onto the side of crates using a stencil. This fits the animal crate concept nicely (the decals on those crates look to be stencilled on), and the idea of cargo being washed up on shore, or dropped from a low-flying plane onto DK Island is something I've always considered. Maybe this concept lead to the choice of logo font.
I'm pretty sure the blue-white-green gradient is hinting at sky-horizon-jungle (as seen in level 1), and the orange 'contour' lines on
Country are symbolic of the wireframe mesh used to construct the game's pre-rendered 3D graphics. Of course, the
Donkey Kong font is a replica of the DK Arcade title, but why it was used there, I don't know. Looks like a 'circus' type of font to me. Maybe that's where Cranky (then DK) came from...