What is this strong crypto vs weak crypto he's talking about? Apparently strong crypto is more of a PITA I gathered that much. But weak crypto is no crypto. I

What is this strong crypto vs weak crypto he's talking about? Apparently strong crypto is more of a PITA I gathered that much. But weak crypto is no crypto. If you are going to go through the trouble of using any at all how much more annoying is it to use NSA proof methods? Has any well established crypto methodology been declared broken because of Snowden leaks?