"e" for short is ok but not short "e".

Newsweek and Time, yes, Foreign Affairs also but I've never seen Private Eye or the Statesman.

As for the company providing publications let's put it this way; if you're considered elite they'll get you what you want, otherwise forget it.

I remember working for a major news company in Europe years ago and part of the pay packet included a "newspaper allowance". Doesn't happen here. Don't know, maybe we're not supposed to read, or know.