No the GE or any other machine outside of my 1965 Wards would not be able to wash that comforter, the capacity isn't large enough. I used to wash it in the Whirlpool Combo, but since I got rid of that machine in my quest to downsize a bit and was offered the LG, I decided to give it a try. And while I absolutely agree with you Henrik that the LG excels in "cleanliness per resource" versus 70+ year old machines, this makes the modern machines perfect for the masses/non-washer enthusiasts in the 21st century. However many of us here are washer enthusiasts, myself obviously included.
While I think the LG is excellent overall, my experience with having these machines lined up side by side and using them has been that it's simply not that BIG of an improvement in performance over the best of the early standard-capacity machines. My opinion is not based on memories from 15 or 20 years ago, I'm actually using these machines simultaneously side-by-side. Again some of this excellent performance I attribute to the best of the modern detergents. I'd like to see how well the LG cleans using Dash or All from the 1950s/1960s formulations, I suspect not as well.
However where the LG falls dreadfully behind the vintage machines is simply in the enjoyment factor. Granted that is my opinion and others may thoroughly enjoy watching their HE/FL wash clothes, it just doesn't do it for me. This is a very important factor in doing laundry for many of us here. I can easily stand over or be around a vintage washer and observe or casually observe the entire 30 minute cycle and thoroughly enjoy the experience of washing clothes. I cannot do that with the LG, the cycle is too long and too repetitious to be of any enjoyment for more than a few minutes. While some may poo-poo the idea of washing clothes needs to be fun, if that wasn't the case, this website and social-network/community would not exist as it does today.
So at the end of the day if I could only have one washer, it would not be a modern HE anything, it would be a vintage top-loader that cleans nearly as well, rinses better, spins just as well if not better, does it all in half the time and is high on the enjoyment factor.