The perfect solution would be another skill - Fletching. I see no reason why would crafting arrows make you a better archer.[/quote]
Fletching could probably be rolled into other skills. Making the actual feathering for arrows would probably be part of survival/tailoring, and making the shaft/arrowhead would be survival/mechanics.
So how about arrows use survival/mechanics to make depending on the components? Or add some intermediate components, so you go thus:
wood > skewers (survival)
metal > metal skewers (mechanics)
feathers + skewers > simple wooden arrow (tailoring)
feathers + metal skewers > simple metal arrow (tailoring) (these are both thread-working to tie things to the shaft so tailoring fits, wouldn’t need much/any skill to attempt, just perhaps more tailoring ability makes you faster at it/more likely to succeed without breaking the thread)
simple wooden arrow + rock > stone tipped arrow (survival/tailoring) (survival to make the heads via rock knapping, tailoring to attach them)
simple metal arrow + metal scraps > blade/bodkin tipped metal arrow (mechanics) (two different versions, one with more damage, one with more armor piercing, uses pure mechanics because the recipe would require a soldering iron/welder to weld them heads on)