Generally, if a lower level can do a thing, I prefer to have the lower level do it. It’s not really a reason, just a rule of thumb. I like to think that the lower level is more efficient to do the thing.
I use LVM snapshots to do my backups. I don’t have any other reason for it.
That all being said, I’m using btrfs on one system and if I really like it, I may migrate to it. It does seem a whole lot simpler to have one thing to learn than all the layers.
I am interested in compression. I may give it a try when I swap out my desktop system. I did try btrfs in it’s early, post alpha stage, but found that the support was not ready yet. I think I had a VM system that complained. It is older now and more mature and maybe it’s worth another look.