I can only speak for myself, but I checked my settings and the COVID-19 Exposure Notifications setting is set to "Off" and I still had this app pushed silently to my phone. What's even worse is there's no app icon for it on the device and it doesn't show up under your app list. I only knew it was on my device at all because I have auto updates turned off and it was in the queue waiting to be updated in the Play Store.