If it's that onerous to get footage from a particular officer or from a particular day, the problem is with the filing mechanism. It should take seconds to retrieve all the available videos spanning a well-defined set of criteria. "I need all the bodycam footage from these three officers on this day and that day, around 2pm."
If a report was filed because there was some sort of incident, it should be cross-indexed with the date and time and the officer. So even if you just know the person involved in the report, it should be trivial to get to the right blocks of video.
So if that's taking any more than a few moments, one of the things the department should be doing is updating how the information is archived. There are plenty of people with library and archival science degrees that would know this stuff better than me, but they're all about cataloging. Maybe police departments need to hire one of them to do the filing and retrieval.
But moving on from that, there IS the question of reviewing the footage to make sure none of it releases anything that should be protected for whatever reason. Again, some of that should already be covered through meta-data and correct filing, but assuming all the video needs to be scanned, I don't think it'll need to be scanned in real time. People can make broad assessments at higher speeds, and once the video is narrowed down, it can be watched more carefully. An hour of footage probably shouldn't need an hour of viewing time, in general.
This is just another way to make sure that justice and transparency are for the rich. They have the best lawyers, they can afford to pay processing costs for the video, etc., etc. I'm not sure I care how many obstacles there are in the way to making this data available in a timely and cost-effective fashion. I generally trust the police in my country (Canada), but I think it's important for us to keep tabs on them. We're finally in a position to answer the question of who watches the watchers, and it's gross that police departments are trying to throw citizens off by making it too expensive to pursue.