I used Hyper.sh for my side project 2 years ago during the initial development phase. It was really easy to start with but I wouldn't say it was stable. Every month or so there would be downtimes or the container would run but for example networks wouldn't work. Or storage volumes wouldn't mount/unmount.. :)
After several downtimes I switched to Google's GKE and never looked back. Hyper is easy to start with but impossible to finish. There was no managed database at that time (not sure whether they had it now) and using Postgres with their persistent volumes (which are backed by Ceph I think) performance was really sad.
All in all, it was a great service for trying out ideas or running small & less important applications, but if you really want it to always be available, then probably it's not the right tool.