^Me too, mostly. But the BR can do a few things the K can't and vice versa.
... And a large CF can actually do most of that* ^ better/faster/easier (in my opinion, plus a whole lot more) and could essentially replace a knife for most all my uses, except for efficiently reflowing the pins on no-lead parts. Combined with a 1-1.5mm CF for efficiently doing fine point-to-point stuff without needing 3 hands, I actually use my CF's the most for SMD work, from fine rework to mass assembly.
*Except when drag soldering, you don't feed solder wire. You load the tip and rip it. And when pulling bridges on an already baked/assembled board, you would probably need to add some flux. The BR tip can snake it and physically pull smaller cold bridges during final inspection and such, which the K or CF aren't going to do.
In any large batch task, you may find a good use for any of these tips, but for a first, I'd personally go BR.