A few adjustments to the model and here we are with lots of native code and big money... but still, folks requesting updates to the the browser to support more app-ish functionality. I'm glad; the browser can do a lot and we kind of miss that in many mobile contexts.
I also think the elusive "run almost anywhere" is viable in many cases when the browser gets powerful enough. (Of course, I said that about the JVM years ago, so what do I know?)