Is that if the gestapo *makes* you delete the video(s) you took from your phone, this will likely delete your cloud copy as well since normally these transfers are basic directory copy methods. I'm not sure if thats avoidable thru some kind of settings change but something to consider. These methods are also easy to test esp. if you also connect a PC to the same dropbox, you can try taking videos and see how long it takes to arrive in the cloud folder, whether anything arrives if the phone is shut off in the middle of the video (and is it uncorrupted when it arrives), whether there's an option to not delete files just because they're deleted from the phone directory, etc.
I have OneDrive on my android and my PC, and the OneDrive software uploads any vids I take on my phone to a cloud-based OneDrive/Pictures/Camera Roll folder I can access on my PC as part of the regular directory structure. I've not tested any of the things I mentioned above, but now that you mention it, I probably should. It may also be possible to set it up to copy any new media to the PC itself automatically, I know on mine I have it set to download on opening but there may be an 'always download' option 
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