Does anybody remove their nocks every time when refletching an arrow?

I don't unless there is a need, i.e. a damaged, worn, or broken nock, or color scheme change desired.

I don't remove the nock.  I always use the same fletching jig so everything always lines up.

There is only 3 positions on the jig so if it's not the cock feather needing replaced then there are only two positions left for me to select from in lining up the feather to jig combo.

I never do, why would you ? I need the nock on to index into my fletching tool... Perhaps you meant " do you change nocks " and that would only be if it was damaged.

I was looking at the aerovane jig which requires nock removal for refletching. I never did this either but thought maybe somebody knows differently

Call me weird, but I don't re-fletch until feathers are absolutely tattered or severely damaged.  I keep shooting them, as stumpers and such.  (I shoot aluminum only, by the way.) When I do re-fletch, I cut the nock and all the old feathers off and soak the shaft in acetone. Then I dip in clear fletch-laq, put another nock on, and new feathers.  With that method, my feathers really stick on well.  I have several thousand nocks at my disposal, from my dad's old archery shop inventory, so never worry about trying to save an old nock.

Steve...
   Try using the single JoJan fletcher....