How exactly? The cloud has a copy of a video from a camera with a given IP associated with a given account.

That doesn’t prove where the camera footage was taken. Or who owns it. Lots of unanswered questions that the defense could use to raise doubts about it.

Possibly.

The "issue" in this case is probably that the prosecutor wants to do everything in his power to maximize the probability of a successful prosecution based on the available evidence even if it means taking three weeks of someone's time rather than making do with a simple notarized statement.

And the defense wants to do everything is his power to throw roadblocks in the way of the prosecution even if it means wasting three weeks of some third party's time.

Nowhere are there any incentives to make things efficient for someone if doing so could hurt your case by even a little bit.