Two things.
With all due respect to Adam's mom, after we bought our first FL set (2007 full size Duet HT), and even though they were on pedestals, a friend said he'd never own a FL washer because he didn't like having to bend over to load and unload. Then I asked him how he loads and unloads his dryer . . .
As for weight equating to durability, remember when everybody had to rent their (landline) phones instead of owning them outright? The phones were heavy and built like tanks to take abuse and misuse and still last for decades, and the monthly rental charge was nominal. If the sets did develop problems, The Phone Company came out and either repaired or replaced them for free, and nine times out of ten, the phone they took back was inspected, repaired, cleaned and redeployed. It wasn't until subscribers were allowed to purchase their own phones from a wide range of alternative manufacturers that standards were lowered and the sets became flimsy.
I wonder how many people would opt for this same rental and free maintenance system with exceptionally sturdy, durable washers and dryers if it were available. I'm not suggesting that such a business model would ever pencil out, because of all major home appliances, nothing works itself to death quite like a clothes washer. But the phone example supports the argument that heavy, over-engineered, bullet-proof build quality and longevity tend to go hand in hand.