[creativeembassy]

I used responsive design for my resume site (shameless plug): http://judy.github.com

It's not perfect, but I wanted to make sure that potential employers could at least read my site anywhere, even on mobile browsers. And I think that's more important. For content-based sites, more designers are moving past pixel-perfect designs, and more on flexible designs that don't necessarily look identical everywhere. They look GOOD in any environment, including odd browser sizes. It's more pragmatic.

If your website is actually an internet app, then I would prefer a native app for mobile OR the app designed for the mobile browsers, like you said.