Except we could say the same for all of their equipment. Melee weapons and armor all need maintenance and the upkeep cost of those are not cheap either. I probably should have added that context to my post. =P
No.
Gear could last lifetimes properly cared for, and repairs were nowhere near as expensive as new items.
Someone who did not grow up wealthy would most likely be using a polearm or spear, maybe an inherited sword. Cost to benefit ratio, nothing beats a spear or polearm.
If a weapon broke, it would more likely be the wooden shaft of a polearm or spear, and well that is a lot cheaper to replace then the metal end.
Otherwise normal maintenance would not be expensive and something you do yourself not send to a professional blacksmith for.
Arrows on the other hand would be a constant steady drain of resources.
Also, archers is actually more strength intensive than most melee weapons, because order to do damage you needed to pull hard, which meant a decent draw weight. You literally had to start training from a young age to be an archer, and they can tell who was one because it affected your development and the shape of your bones.