Opening Instagram app from a link on iOS

Question

I am providing a feed which is consumed by both desktop and mobile apps which contains links to images, users, and tags on Instagram. When these links are clicked on iOS, I want them to open in the Instagram app.

Currently if I have a link like this: https://www.instagram.com/p/BK8f1rigadE/

If I click it in iOS, the Instagram app does open, just briefly. It then seems to launch Safari to the page, which includes an "open in app" link to open it back up in the app. That link uses the "instagram://" protocol to trigger the app to open. I'm aware of that method, but that's not what I'm after.

I'm on iOS 10 with the latest Instagram app. I feel like this used to work, so I'm wondering if it's just a bug in iOS or Instagram that will be fixed eventually.

Links to twitter.com open properly in the Twitter app... that's the kind of behavior I'm after.