I don't think it means what you think it means. Obviously the manifesto is so short on details that it can be interpreted in many ways. I think the failure tolerance is more about e.g. tolerance of losing machines or tolerance of overloading - and that seems to be working.
I have previous experience about J2EE/JEE application servers and they always seemed to have the problem that when overloaded with traffic they might do anything. And after being severely overloaded they often do not recover back to normal. Also people often did not use J2EE session replication, because it was considered a pain.
Now I'm building an app with Scala/Play framework and we don't have user sesssions or the web servers so scaling and server failures are not a problem. Also we just ran some performance / load tests and the servers work fine up to 100% load and then just start to lose some requests. This is much preferrable to the "all bets are off" that I have seen on Tomcat or other servlet containers. Another reactive benefit from the Play server is that it is super easy to use many threads for building a single http reply and this really helps in giving users timely replys.
So while the manifesto is of course marketing, there are some good things in the new ways of doing things.