"mansplaining", etc.
It is an intellectually lazy way to try to shut people up, or down, particularly if they're disagreeing with some goofy brand of dogma.
It's one of many tactics, of course. A popular one right now is to conflate any disagreement with, say, radical feminists, into "attacks on Feminists" or even better, "Attacks on women". Then you have to go down the road of pointing out "you're not speaking for all Feminists, in fact 5 minutes ago you were bad-mouthing 3rd Wavers". It's like saying by criticizing Fred Phelps you are "Attacking Christians". Sort of technically true yet also a vast misrepresentation. Conflate, conflate, conflate. Criticize the way Adria Richards handled eavesdropping on some guy's dumb dongle joke, and all of a sudden you're Reddit MRA pubic enemy phallopressor numero uno, who is obviously "okay with death threats" and all manner of bargle yargle blargle flart.
It's silly, but it's a Gish Gallop tactic of throwing gibberish out so fast that it's nigh-impossible to deconstruct point by point. (Short answer? I haven't seen anyone say they thought the threats against Ms. Richards were appropriate. Because they weren't.)
As for "privileged", again; it's intellectual laziness, generally from people who are more used to dealing with imaginary constructs than actual human beings and the real world. Yes, I would posit that historically there have been many advantages -in many situations- to being male, in Western Society and the US in particular, although this is becoming less and less as we (hopefully) move towards a more egalitarian, merit-based society. I hope and I believe this to be the case. There have also been obvious advantages to being White, to being Protestant, to being Rich, as well as to being strappingly handsome and, ah, endowed in the shoe and glove department.
I'm batting 3 out of 5, there. 
But the reality is, we're all individuals, and furthermore we are all individuals in a myriad of different situations in which a myriad of different variables come into play. Is it inconceivable that there may be situations you or I come across in our day to day in which being male may confer an advantage? Like having to pee in a forest? Certainly. But this knee-jerk meme of "check your privilege", particularly on the internet where, at the end of the day, we are ALL disembodied electronic voices that could be ANY gender or race... it's fucking silly.
And, again, it's really about shutting people up, saying "you don't have a right to your opinion, because you're XXXXXX".
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