If they created a simple webview app and framed the website would you use that or the website in your browser? I am just curious to what the OP classes as "convience and accessibility". I find this an interesting topic. Since many users have requested my websites have an app, but I'm loathed to go through all the hoops of the app stores.
Probably not. It's the same experience as the website. I've tried adding it to home screen so it opens immediately like a bookmark.
So you like the responsiveness and snappiness of an app?