I had a post several months back about how Hybrid Zoom works, and how it differs from Crop Zoom. If I get a chance I'll try to reconstruct it. The value of Hybrid Zoom is you can go smoothly over the entire range with the zoom ring of the lens, from the widest angle to the highest crop telephoto. The disadvantage is it breaks the cropping into a just few bands, typically three, so it is unlikely the focal length you have chosen has the best possible crop. Crop Zoom is different, the camera crops exactly as you would with software in your editor. So if you want the most possible pixels for a photo, use Crop Zoom instead of Hybrid Zoom.
Not always true. The trick is to use RAW+JPEG. You will get the crop in both RAW and JPEG. But RAW is much more flexible. In Lightroom wth RAW, for a photo that has been cropped with Hybrid Zoom of Crop Zoom, in the Develop mode, select the Crop function. You will see the entire RAW photo with the cropped region highlighted. In this mode you can move the highlighted cropped region around to reframe it, or make it smaller or larger, up to full resolution. The number of pixels in the cropped region is displayed for reference.
I use Crop Zoom quite often. I call this method "Frame it and Change it". It is especially useful with fixed focal length lenses. For zoom lenses I first use the zoom ring up to the maximum and if I want a higher focal length I use Crop Zoom.