I also use the Pi+HQ Cam, but with their wide-angle lens, and I do all the object detection (and heli type classification for a handful of types) on-device using TFLite.
How do you not run up a Rekognition bill?! One of my project goals was to have the total cost be as low as possible, so while I do use AWS for the website hosting (S3+R53+CF) it's $0.60/mo - everything else is on-device. With Rekognition, processing a file every 2 seconds, it would add up!