The only reason the government "gave up" in the previous crypto war was because they decided to find ways to break or weaken crypto to their needs. I don't think this time will be any different, one way or another they will get access to our data.
Modern standards like SHA3 are designed far better and in a way that make it way harder for anybody to build in a backdoor.
This is one of the few areas we dont have to worry to much about.
What we need to worry about is addoption of good defaults by the large majority.