From someone in the trenches using C++, I can definitely tell you that C++ 11/14 has made a massive difference, along with the adoption of better programming practices that have occasionally been eschewed by game programmers because of speed concerns. I describe the new C++ as feeling like C#, except with far uglier syntax. It's fantastic to be able to almost completely eschew the use of raw pointers (at least ones which I have to use to manage memory). It almost feels like the language has garbage collection, except that RAII + smart pointers work wonderfully on resources as well as memory.
I've been working in what is essentially a version of C++ 98-compatible style for nearly my entire programming career. Modern hardware has really reached a point where game developers can effectively take advantage of some of the real advantages of modern C++. It's remarkable how much more productive you can be when you're not worrying about having to carefully manage memory, tracking down a ref-counted leak, or (worst of all) spending hours or even days searching for some memory stomp.
Best of all, a some of the newer features don't even require a significant amount of overhead, but really just put more work on the compiler instead of the programmer. And there are ways to mitigate some of the downsides of ubiquitous RAII-type design (the cost of creating lots of small object), though custom memory managers optimized for those sorts of scenarios.
I have to say, I agree with Bjarne's answers, especially his answer to the notion of dropping compatibility with older features. While it does make the language more complex to keep that cruft around, it's equally important to allow programmers to wrap up older libraries with newer interfaces, for example, and make sure the codebase still compiles cleanly. Since I started out on my own just a year and a half ago, I had the advantage of starting my game codebase from scratch, so I could use the most modern techniques, but I've worked at places with 10 to 15 year old codebases. There's just no way all of that is going to get rewritten in the near future, so backward compatibility is hugely important for the C++ community.
Overall, C++ gets a lot of grief for it's ugly syntax and nasty gotchas, but modern techniques have really eliminated a huge percentage of those. Personally, I tend to view C++ like an extremely sharp kitchen knife. It can be a dangerous tool for novices, and you certainly don't want to use it when a butter knife will do, but there are some jobs that simply demand it.