Not OP but recently made it to the iron age for the first time. At first I was trying to conserve metals and do what you suggested but then laziness got the best of me and I'm using at least bronze for everything. I usually leave my almost broken bronze/iron axes at home to finish breaking making firewood, if only to save inventory space when going out lumberjacking.
Sort of related but after you've got iron picks you can also make meteoric iron. At first I thought it would be relatively rare but I keep finding it everywhere. If I see a weird depression in an otherwise flat area I dig out the middle and like 50% of the time there's iron there. My picks, shovels, hammers, and swords are now all made out of space rock and I've got like 30 ingots to spare. It's just so much easier to refine than iron ore and lasts a bit longer as well!