I received the replacement unit (with a prepaid return shipping unit for the original), and everything appears to be working just fine. My computer still can't detect the camera, but the memory card plugs in and out correctly. Since my computer doesn't have any card reader slots, I had to buy a $6 reader from Amazon. Not a big deal, and I'm able to access the videos just fine now.
When asking for the replacement, I also asked about their return policy. The lady that I had been emailing with said that if I wasn't pleased with the second unit, then I could return it for a full refund, no questions asked.
Here's a link to one of the videos. I'm not sure how much YouTube lowered the quality, but I still think that the quality is only marginally better than my old G1W. I've also attached some screenshots of the video from my computer.