Hand winding auto mainsprings...hell no! Especially on those tiny modern calibres!
Only mainsprings I hand wind are those that are not replaceable, easily. Other than that, new mainspring, pressed in.
I have on occasion came across new mainsprings that the retainer ID is larger than the diameter of the barrel it's going into. On these occasions, It has to come out of the retainer and be wound into a mainspring winder.
Mainspring winders are ridiculously expensive but I managed to get a decent set, without remortgaging the house.
As, said above make a note or take a picture before removing the old mainspring so you know what way it goes back in.