I haven't heard of anyone complaining of excessive battery drainage after updating to iOS 9.3.3, but I'm sure there are some. Hopefully, those that are experiencing what you're experiencing will reply soon.
How long ago did you update? Sometimes RIGHT after an update lots and lots of programs also get updated and this causes battery drain, this can go on for weeks and developers catch up to the new OS. If it's been a while and you are STILL having problems then I would really worry. Now of course you KNOW that call time is and always was a big battery drainer. Also if you are in a poor signal area your battery will drain faster both on calls and while NOT on calls.