I agree that the fabric is far from amazing. Saying as someone whose closet is full of 100% cotton shirts. In there the two LMG shirts of 50/50 cotton-polyester are among the worst. I don't know if its the mix or something else, but my back hairs do itch when wearing those shirts. And having to wash them at different batch from the rest is far from ideal.
But I have had mine for 6 months about, used them every now and then, so maybe 5+ washes at 30C/lowered rpm (because I wash wool in the same batch). Yes, I can see through them, but not as bad as you. So I would say this is partly