Very little tuning is required once you find the spine and weight that works for you. Remember that wood comes in a wide range of spines. Start with what you think you will need and then go up or down in spine from there.
Even cedar, a lightweight wood, is heavier than carbon, and most aluminums, unless you add weight to the carbons and aluminums, of course. I consider the heavier weight a plus.
You won't get fliers, at least not fliers caused by the shaft material, if the arrows are well matched to your bow and each other. To do that, though, you will need a grain scale and spine tester. Most shafts and arrows that you buy will not be matched within 5 pounds of spine and 10 grains, even though the suppliers say they are.
Good wood arrows fly as well as carbons and aluminums, but it requires good shaft selection, time, effort, and skill to make good wood arrows. Lots of books provide detailed instruction about how to go about it. Have fun.