Same problem here, on an iPhone 8 with ios13.3 and iPhone SE with 13.3 - neither of which had this problem with ios 12 (problems started end of 2019). No problem on the iPhone 7 with ios 12.4 (didn't upgrade - and obviously don't intend to upgrade either).
Trying to systematically narrow it down, disabling feature after feature I'm currently at the following point:
Turned off iCloud drive but still leaking data, removed all files from iCloud drive, same issue.
Disabled WiFi-assist, background app refresh for almost everything except gmail, skype, whatsapp, notes, calendar and weather.
Disabled automatic downloads for music, apps and app updates
settings/icloud: disabled sync for mail, messages, home, health, wallet, game center, siri, iCloud backup, iCloud drive, maps and Shortcuts ( remaining enabled: safari, notes, reminders, calendars, contacts and photos),
iCloud-settings for photo's: iCloud Photo's enabled, Optimise iPhone Storage: enabled, upload to photostream: disabled, shared albums: disabled -> still leaking
Automatic updates (to the o/s): disabled (just to make sure this wasn't causing it).
Remaining candidates: Photo's ( if I don't find anything else, I'm going to completely remove every single photo and video from there, see if that solves it. As a sidenote, if that does happen to solve it, that'll also be the moment I stop my iCloud storage subscription.
There is still an update to ios 13.3.1, will try that too.
Honestly, why can't I see what exactly "Documents and Sync" is doing, in more detail? That would help a lot in figuring this out, as opposed to trying to disable every feature (which are spread out all over the place hidden in various submenu's in the settings ).
My kid has a small datasubscription of 500 mb for emergency use, which was entirely eaten by ios 13, after which is happily continued with the 10 euro of prepaid - so now she can't call at all anymore, and topping up is useless, as everything is grabbed by "Documents and Sync". Seriously, this is ridiculous. It's a know fact Apple hardware is expensive, but that's offset by the great user-experience. Not sure about that however, my user-experience is dropping very fast.