I installed v4.58 yesterday, along with iOS 15.6.1. I left my iPhone 12 Pro Max sitting on my bedside at ~56% charge, woke up and it was at ~21%. Usage chart shows Connect was the culprit. I've also entered a review on the App Store. I've found the app to be great, but this problem needs to be fixed ASAP. I've tried rebooting the phone, will see if that helps. Otherwise I'll have to disable background for Connect, and have to re-enable it whenever its needed...what a pain.