yea, its tough, so zoom does more than normal compression to get their file size down. They also have variable frame rate codecs that directly tie to the Raw Data frames, which brings their recording size way way down. But I havent seen anything that mimics their codec as well. And once its available online its already been rendered to 30fps, but the placement of the i-b-p frames are tied directly to the original framerate, which I havent seen any encoder that can parse that info as well. ffmpeg you can copy the exact codec, and ive seen that be able to get those file sizes down.
Im not familiar with Movavi, but I use ffmpeg directly when I need to compress something a bit more, or sometimes handbrake when I dont have the time to flag it correctly.
That said, if you need to do simple edits, there is a program that allows you to just take out portions of an mp4 record without re-ecoding, it just repackages. https://mifi.no/losslesscut/
You an do this with Lossless Cut but not automatically. It doesn't have to re-render, however.
It might be possible to write an Automator script on Mac to doe some of it automatically.
If you are going to pre-screen everything, you can do that with Lossless Cut before you ever import to FCP. In your case, this might be worth the effort and certainly will minimize storage.