The numbers still say that roughly 2 million players play a fantasy RPG (per Scott Rouse).
Roughly,
500,000+ of those bought the 3e PHB (per former WotC staffer)
300-400k of those bought the 3.5 PHB (per former WotC staffer)
250-400k of those bought the 4e PHB (speculation)
250k+ of those bought the Pathfinder Core Bookbook (per Erik Mona at GAMA)
So effectively at least a million of the existing players have 'Rage Quit' by not buying the most recent rulebook, repeatedly, over every edition. Not including the roughly 20 million people who have only played frpg games for a short time and then drifted away.
I think 5e will survive a fair amount of 'rage quitting'.
We will see.
I think it depends significantly on how you define "survive". Based on WotC's comments about their expectations, it will need to last a lot longer than 4E did.
Based on hype it seems to be behind the curve of 4E.
Based on game quality I think it is way ahead of 4E. (My opinion being highly insignificant here)
Based on market position, it is facing a much bigger challenge than 4E with PF already firmly in place plus a fair number of 4E hold-outs. 4E clearly was a master at providing a certain game niche and people who love that niche are well justified in staying there.
I certainly think that 5E can gain traction and become the big game again. It can also come up well short.
There was plenty of presumptive "this is D&D" talk for 4E and that kind of blind faith is just a unfounded now as it was then.
There are plenty of details within PF that I find stupid and houserule without any official support. That has been true of most any RPG I've played beyond a handful of sessions. So this detail is no different and no big deal.
What I find more interesting here is that WotC has made a lot of big talk about wanting to be the game to be the system to bring players together and support all styles. This is one of the points that has been a stark dividing line between camps. To say they have picked one camp and don't plan to offer the other side an alternative is perfectly acceptable. But it flies in the face of claims of trying to be inclusive. So much so that I wonder if the reference above is truly accurate.
But whatever. I'm still interested in the game so far and already have houserules in mind. It remains to be seen if the system can withstand the needed tweaks and still be great. Time will tell. You don't have to "rage quit" to happily take you gaming to something that works better for you. For 5E's success the distinction between rage quitting and happily playing the other game is moot.
5E can fail. I hope it does not.