... Will the NFB switch work properly when I am on the 4ohm setting even though the NFB circuit is connected to the 8ohm tap?
Yes.
Say you have 4-8-16Ω taps. When you play through the amp, all taps are energized even if you're only hooked to the 4Ω tap. Or only the 8Ω tap. Or...
Another way to think about this to remember is to ask yourself, "Am I willing to grab the disconnected high voltage tap of my power transformer, even though I've only hooked up the bias tap?" I sincerely hope your answer would be no (that you know voltage is present at the unused high voltage tap).
Same goes for the output transformer. The negative feedback components are sized based on expected voltage on a given tap when the rated power output is passed through the OT, and that expected voltage is at that given tap regardless of which tap you hang a speaker.
I've seen other folks speculate that you oughta move the feedback to the actual tap with the speaker (with appropriate resizing of values) because "it'll damp the speaker better." The reasoning goes that the bit of secondary winding between the speaker tap & NFB tap will somehow isolate the speaker a little from the NFB. I don't think this argument is valid, as all parts of the system are part of the negative feedback loop all the time.