Will my recordings sync across devices?

No, recordings do not automatically sync across devices. They are stored locally on the device where they were created.

a recording made on one device will not automatically appear on another device
logging in with the same account does not automatically restore local recordings
reinstalling the app (deleting the previous app and installing again) will remove local recordings

If you want to keep important recordings, back them up regularly or share/export them to your own storage.