Earlier quoted context omitted.
It's not a problem if you find appropriate quality and thickness. One example is Icebreaker Ultralight socks. I use them in summer and they are rather thin.
> One example is Icebreaker Ultralight socks. The website says they're actually 38% polyamide and 2% elastane. I think they're 'wool mix' socks rather than wool socks.
EDIT: Also I see that the proportions differ based on the type of socks.