Type C is a Tungsten/Tungsten-Rhenium thermocouple. Omega has a
handy chart showing it along with the more standard types. Our instruments can be set for C (among many other) thermocouples. Type C was what was originally spec'ed for this furnace (I have the prints) back in the early 80s. I wonder if they did that to save money (tungsten is cheaper then platinum). Type C cannot be used in an oxidizing environment, so you can't use it in a sheath, thus the exposed junction.
I was looking at the ceramic sheathed thermocouples the other day in a catalog. They (Pyromation) mentioned on their website that an alumina protection tube should not be used when the temperature ramp rates will exceed 100C per hour. Perhaps that is only the protection tubes and does not apply to a thermocouple sheath. The ramp rate problem is why I was initially leaning toward a moly sheath. If it's usable, I'd rather have the alumina.
We were interested in moving to S (or R) as we have several of those installed in other pieces of equipment and have never had a problem with them, at least that I can recall.
Brian