I mean, c’mon, If your page does not have a good design to start with, why not changing that? For both web clients and iOS devices. I remember when there the wordpress plugin for iOS was activated by default and all the blogs changed totally their appearance for a kind of “magazine” that, yes it looked good, but was much more difficult to read.
I get to have a responsive design to adapt the web to some sizes (like a mobile device), but changing fundamentally how your site looks and is designed is totally pointless…
There is one thing that is even worse. Apps that wraps a web site, removing all the functionality of the web browser for a stupid and independent, limited app. And even worse, they will constantly will bother you with reminders to download and install a pointless app.
No, just don’t. It is totally stupid. Work on your web page, get a great design, and make easy for the people wanting to read it, well, easy. After all they’re the ones interested in you….
PD: I think the Android ecosystem is similar. The same applies.