[...] the two wires that are a filliment (heater
to some).
As I understand it, a filament and heater are not just two different
words for the same thing (for a long time I thought they were...).
A filament is what this is: the electron emitter is the same thing that
is generating the heat through ohmic losses. A heater is a case where
the heat generator is not the same thing that is emitting electrons, as
in many vacuum tubes: the heater generates heat, which then warms up
the (separate) cathode electrode.
This may be a UK .vs. US language difference, but to me :
A 'filament' is a thin wire, heated electircally. A heater (in a valve)
is a particular type of filament
A filament that's also the cathode (as here) is a 'directly heated cathode'
A filament that heats a separate cathode is called a 'heater'. The result
is caleld an 'indirectly heated cathode'
-tony