I agree, there's really no right or wrong answer here unless you try to use an unsafe litter bedding like cedar wood shavings.
I used to have my chinchilla in kiln dried pine shavings, but after a while I didn't like the mess (it would get tracked all over my apartment, spill on the floor all around the cage, etc), or the smell of pine or when I tried aspen. Plus I thought that it took a long time to clean, and I didn't like the cost of buying shavings all the time.
So I switched to fleece liners (a double layer of fleece sewn so that no edges or thread were accessible) and I've been really happy with them. I have a double stacked cage, and I change the liners about every other day, so I go through about 6 liners a week and I end up doing about one extra load of laundry a week. My chinchilla is mostly potty trained to go in her litter, but I know that she pees elsewhere sometimes because I see stains on her wooden house every once in a while.
I don't notice a smell at all with the liners, but I can imagine that if your chinchilla isn't litter trained at all that it might smell.
Lots of members here use various kinds of safe litter and have been very happy with them, so its really just what you like best.