Ryan from the PagerDuty support team here. Have you tried any of the newer versions? They're greatly improved. If you can pass any feedback along to support@pagerduty.com it would be much appreciated.
The number one thing this app should do is show me correct information. Don't ever show me cached version of the page from 30 seconds ago while you load. The only indication that I'm looking at a stale page is the teeny tiny loading bar at the top. I would rather see a blank loading page than the wrong information.
Oh and once the loading bar finishes, the list of alerts changes right out from under me and I often end up tapping on the wrong one. It makes me want to throw my phone.