I agree I don't get it, the QT house fish for longer than a few days which for me says you either keep it running and cycled forever or you stress the fish out when detritus causes an ammonia spike.
For me, a nano tank guy, a QT is not worth it... I can't keep big fish, I don't want to invest in a second system that would be comparable to my DT, but I also know I'm limited on the number and types of fish I can keep.
For these reasons I only by fish from a clean fish store, I drive 2.5 hours to go there, I only go for hardy type fish and I inspect them making sure they have been in the store tank for over 2weeks. The place I go puts the fish I want in a small acrylic box so I can check it out closely.
If I had a big system with big, exotic and expensive fish I'd run a QT for sure that would basically be a fully functioning nano tank, cycled.