Yes. Trees, like all plants, exist primarily to make human life easier and in that goal are required to die and their corpse be used for a variety of needs; some quite ephemeral, some quite permanent.
Without wood access, assuming you are correctly against plastics, you're essentially advocating for a world where poor people don't get furniture, barbecue is tasteless, and wildfires are common place.
Edit: I genuinely didn't expect liberals to take issue with this. It's wild how right-wing beliefs like humans being smol inconsequential beans have spread in that community.