A few further comments: LR's catalog '
contains' a lot more important data than the ACR database (all that DAM stuff for
one 
). So it's absolutely important to back up the catalog even if you use proprietary raws and sidecar files. And you can store some editing data in both locations (belt and suspenders). But going back again to the topic; back up
everything. Or anything you can't afford to lose.
I cannot see any reason to use the ACR database! I can see lots of reasons to back it if if one insists on using it. I can see lots of reasons to back up any file that falls into the useful camp.
As for why some of us use LR vs. an ACR/Bridge workflow is Bridge isn't a DAM, it's a browser. And for some of us, the Print module in LR is worth the price of admission alone. Photoshop from day one is kind of a 'one file at a time' workflow where LR bypasses that, even for printing.
ACR as a filter is pretty slick. But it's not the same as using ACR on raw data!