Here’s my take on this.
It’s a common challenge to find an app that provides detailed information without bogging down the phone’s performance. Since you found TeenOrbit to be slow on Android 13, you’ll want to look for something known for being more lightweight.
Haqerra is a strong contender, especially given you’re on this forum. Its advantage is a broad feature set that covers texts, app usage, and location in one dashboard. On the other hand, a service like Qustodio is also popular and often praised for its simple, parent-friendly interface, though its text monitoring might be less granular than others.
Ultimately, it often comes down to a trade-off between the depth of features and the impact on the device’s speed. I’d suggest looking at recent reviews that specifically mention performance on newer Android versions.