Why? What does an app give you over the browser? I get the feeling I'm in a minority not caring so I'm trying to understand. Do you specifically mean you don't like entering your login info once on a while (granted I have no idea why we have to log in so often)?
I removed the instagram app on my phone to minimize my usage. It works. The experience of the mobile website makes it easy to use the platform much less. And I never need to re-login to the mobile website.