Faster in what sense? I am getting instant push notifications...
Faster to load everything, less overhead with native code pulling relevant data via the API. There's one less abstraction layer (browser rendering engine, which is über slow and memory hungry in comparison). Check system usage when you use the Tapatalk app vs browsing the page on Chrome, also enable "GPU rendering speed profiling" on Android while browsing native vs Chrome, and watch how it continually spikes on Chrome while you load and scroll through pages.
But let's not have a long discussion about pros/cons in this thread. This has been discussed so many times before. Some people prefer native, some don't see it as necessary at all. That's fine, but this thread is about a native app for Android+iOS.