Ramil, yes it's terrible. Don't read American media is my advise.
Including the European versions of their papers, rather particularly those, since that propaganda is tailor made just for us... I don't know, but I would guess that there are plenty of American magazines sold in Russia after being "localised". Read at your own risk...
I have no idea why they choose those particular covers, but Time magazine is a publication with an agenda.
Part of it might have been simply because Americans want news about the USA primarily.

My first anti-Russian literature I read was in the translated version of a publication called "Reader's Digest" in the early 80s.
It was in the summer and there was a stack of "Reader's Digest" in the outdoors loo at our summer cottage (should have just chucked it in the hole with the rest of the crap, lol!). I read tales of people who had "fled" the USSR and told gruesome stories about how mistreated they had been. I was quite intrigued because it didn't fit with my view of the USSR at the time (peace & solidarity, Cheburashka, pioneer adventures, cosmonauts...) and the stories were really shocking. Not long after that, my dad decided that we were going to Latvia on a summer holiday, and I got a bit concerned. There was one fictional story that impressed me incredibly, about how Russians trained up a woman to impersonate the first lady of the USA. Then she was "swapped" with the real one, and lots of drama that I was too young to understand, ensued. For a second I imagined that my own mother would be swapped for a replica in the USSR, but fortunately the holiday was very nice and we were treated very well so I got over it. The story stuck in my head for years - such a good example of propaganda. For some reason I believed that it was true and might have really happened, as Reader's Digest is a magazine, supposedly reporting real events.

And yes, did they EVER go all the way with the anti-Putin "Russia-is-a-dictatorship" talk during the Olympics?

Even when some door handles didn't work, and the plumbing was shoddy, it was somehow Putin's deliberate doing and a result of the terrible oppression of free speech such as Pussy Riot in Russia....

(how did they make it to Sochi to have a little concert? I was very surprised to see that they got 5 minutes of fame there!)