Increasing NFB-11 output to its maximum 5V (by means of variable output mode) means an increase of only 6dB. If the WA3 valved (or tubed, if you prefer) input driver is before the volume control, then increasing the input level may overdrive the valve a little bit. Overdriving a valve will cause some distortion, but valve distortion is, sometimes, pleasing. It may add some color and warmth, but it will alter the sound. Too much overdrive will cause compression and distortion like the ones we use to see (or hear) from guitar amps and pedals.
I did not find the input range specifications for the WA3 input, but some amps can support up to 10Vrms. If this is the case, you will not be able to overdrive the amp input.
Using a higher output from the NFB-11, will put its internal amp out of the "Class A" range. Audio-gd does not specify what is the level the amp will start operate in A/B class, just says in the manual "The NFB-11 built in high bias current amps , for most headphones at normal listen volume it is working at class A state". It is also possible that the NFB-11 have a higher distortion with the higher output, but, unlike valves, transistor distortion will never be pleasing at any level.
It is OK to experiment all possible combinations. Let your ear be the judge.
100 kohms input means the WA3 is an easy load for the source. It is quite OK for the NFB-11.
Cheers,
Elder