Actually, the way the arithmetic works out for me, the resistor in the equation would be dissipating .49W. I think that by indicating a 1W resistor, he was already figuring in a safety factor of ~2.
My questions are with regard to the "in series with both filament wires" part of the post.
Perhaps we should also discuss some nomenclature while we are on the subject: It has always been my understanding that "filaments" is most generally used to describe the heating portion of a directly heated tube. If it is an indirectly heated tube, I have most often seen "heater" used for that bit.
So, I should probably add to my two questions above a third question: Are the tubes in question directly heated or indirectly heated?
Not that it is likely to matter much in this discussion, but I find that this format of communications on a topic such as this often benefits from a general agreement on terms and usage of language.