I bought the Caslons in white. I like the way they fit me, and they look as nice as more expensive ones I tried on. The white is quite thin, but not as thin as some I've seen. I just bought some white capri tights to wear under them, for better coverage. (I know, tights and linen pants? But I'm in Seattle, not Texas.)
I also tried on the linen drawstring pants at Loft and really liked the fabric, style, and fit. They run large. I would take a size smaller in them than in the Caslons.