According to Brian in Vancouver, BC :
A friend has a room with 2 interior log walls. A wiring cable has been
installed in the space between 2 of the logs, to join switches at each
corner of the room, to provide 3-way switching. The wiring is installed in
a metallic conduit device with a white cover that is about 1" wide. Looks
like hell.

The conduit is probably "wiremold". Not very sightly is it?

I gather the wire must be protected as it is low in the room (about 15
inches off the floor) to meet the electrical code. It would have been nice
to simply tuck a cable with a dark cover in the narrow space between the
logs and staple it in place. Then maybe some form of wood moulding could
cover the wire, either a flat board (with back cut sides to fir into the
logs) or perhaps a half-round moulding.

Canadian code requires that any wiring "subject to damage" needs to be
covered with suitable protection. In living space, this pretty well means
_all_ wiring. In basements and such, it's anything below 5' from the floor.
Various attic/joist min/max height rules, yadda yadda. Never mind.

Wooden covering _is_ acceptable, however, there's this thing about the wire
having to be recessed 1 1/4" from "finished surfaces" (to allow for things
like drywall screws), or, have a "nail/screw resistant" safety guard (ie:
metal plates covering stud crossings if you can't get 1 1/4" of backset.)

You seem to be in a situation where the wire can be routed along the
space between two logs, and don't have to cross logs.

I _suspect_ you could easily talk an inspector into permitting a simple
wooden cover (like you suggest), because it's not as if drywall or
panelling is an issue here. Otherwise, what you could do is install the
wiremold in the recess between the logs, and install a moulding over it.
Either a moulding wide enough to bridge the gap with enough space behind
it for the wiremold, or, route a slot in the back, or some compromise
of both.
--
Chris Lewis, Una confibula non set est
It's not just anyone who gets a Starship Cruiser class named after them.