It does to me, too. My mothers cousin had this condition. He couldn’t sweat but he didn’t peel off like this. He had to take medication and stay out of the heat. I don’t know why but the plea for money at the end of the article sent up some red flags.
These medical overviews of lamellar ichthyosis do not describe absent pores or complete inability to sweat. The first one mentions that the scales “interfere with” normal sweat gland function (so functioning glands are present), and the second one notes that the scales may block pores (so pores aren’t absent), but this child doesn’t appear to have scales everywhere.
http://emedicine.medscape.com/article/1111300-overview
http://dermatology.cdlib.org/114/NYU/NYUtexts/0517054.html