Hi!
Do not worry, if app is compromised, Avast Mobile Security would certainly warn you with pop-up dialog. Notification about installed/updated application is displayed only for the last app that was scanned. For example, when you update 10 applications and then check notifications, there will be just notification about the last updated app. It is precaution not to spam users with multiple notifications as apps are being updated usually in bulk.
Sadly, we were not able to reproduce the issue.
Regarding the killing of our application when Chrome is updated. It is expected behavior as we are using WebView (as majority of applications), which is being updated with Chrome. Do not worry, Avast will start right away.
Tomas (QA)