There weren’t cameras that stored video in the cloud and sent notifications to your phone 10 years ago. It would have been stored locally. You can already do that with Wyze cams.
If you’d like to build your own system that continuously records with the cameras using another device, there’s also RTSP firmware that enables this, if you’d like to get a little more advanced.
For cloud storage, there’s a premium service coming soon called “Complete Motion Capture” that will remove the cooldown period and video length limitations. It’s available in the beta version of the app now, if you’d like to be a beta tester. After the beta period, it will be $1.49/month. You can find details here Complete Motion Capture Website Ready for Beta Testing