The big question "Whether to upgrade to Apple iOS 9.3.3 or Not?", for jailbreak community finally got answered by Team Pangu as they released a public jailbreak for iOS 9.2 to iOS 9.3.3 devices. While iH8Sn0w demonstrated iOS 10 jailbreak only meant for older 32-bit Apple devices, this one is only compatible with 64-bit devices as of now.

The semi-untether jailbreak would require you to re-run the jailbreaking app on your device every-time it gets rebooted to get back the jailbreak. The Chinese version of the app is out now and English version should be available soon. I would also warn that this Pangu jailbreak asks you for your Apple credentials and also resides on your device, this might get auto-updated with unwanted stuff later on.