I’m gonna be the Debbie downer and mention that no-iron clothes have synthetics in them, the washing of which is a major contributor to the microplastics problem.
Linen is supposed to be wrinkly, that's why it's so cool. It lets the breeze get between you and the fabric. Just hang it up wet, giving a few strategic tugs to smooth it out, especially the collar.
Lol who said anything about specific garments? We just wear our clothes wrinkled and no one cares. My linen shirts looked wrecked for an hour or so and then the wrinkles fall out, for instance.
I have never even heard of "no iron clothes" until now, and I haven't ironed any of my clothes except when I absolutely had to do it because I was in the Marines.