You can do that, connect the secondaries for the filaments (either in parallel for higher current or in series to add the voltages). The B+ being open might cause the heater voltage to float up a little.
Background: With transformers that have multiple secondaries you can add and subtract the voltages on the secondaries by wiring them in series. This is called boost and buck. If in phase (there is a "dotted" end of the winding that indicates phase), that is dot to non dotted, they add, if out of phase, that is dot to dot, they subtract. This can become a whole ball of wax as you can buck or boost the B+ and the heater windings if both are insulated to the same voltage. Ok, who needs a 250V transformer output plus or minus 6.3V? But it is possible.
In the FP III build (non-extended) the high voltage (B+) secondaries are paralleled. That produces the same voltage but delivers twice the current (each delivers up to the rated current).