EF linen tees, tanks and tunics are my go-to. I travel a lot and for summer trips in hot, humid climates this brand has proved the most durable as well as comfortable, presentable, and easy to wardrobe. I wash in cold water gentle cycle (hand wash in sink when necessary), and hang to dry. Never iron. If at home, I toss in the dryer on air (no heat) with a couple of dryer balls just to soften. I've never had any EF linen knit wrinkle, including her cardigans.
I find EF white linen sheer, and as Greyscale noted the black looks faded. Marled grey and dark navy are marvelous.
I stopped by Uniqlo and took a look at their new linen tops this evening. The linen 3/4 sweater is very sheer, in white and navy too. Feels more like a tee than a sweater, same weight as EF linen tees. True to size, nice high-low hem not too exaggerated. I would wear this over an EF linen tank or tunic. The linen shirts, both sleeveless long sleeve, also fit true to size. Great colors, soft linen, on inspection seem as well made as EF linen shirts. I didn't see any tees, but I'll be looking there are spring and summer rolls out.