Unfortunately, RAW images are much bigger, but won't offer much more dynamic range (highlight and shadow detail) than the JPEG images you now get from your phone. On a full-frame DSLR, I only shoot RAW, and the advantage over JPEG is huge. But as the sensor size gets smaller and the image resolution gets bigger, the pixels get MUCH smaller. Small pixels don't offer much in the way of dynamic range, thus, even with the mandatory post-processing, RAW images won't be much that better than the JPEGs you're now used to, especially in low-light.
The main advantage to RAW will be that you can adjust the white balance AFTER the image is taken. Frankly, the video shows about the same capabilities that you'd have if you post-processed the JPEG image (even though he indicates it isn't) - and most people aren't going to want to post-process all their images!
bert