To be very basic about the answer, simply put.
Tweeds have a tendency to have a lot of compression, breakup early and have very little clean headroom. That's great for raunchy, primitive chord sounds to more singing, fatter soloing. Think Neil Young or Clapton's most recent sound.
BF fenders are mid scooped and don't overdrive or compress as much. They are cleaner and louder, silverfaced amps even more so.
Some people like to use a tweed deluxe and BFDR at the same time, best of both worlds.
There is a lot more to it but I think that sums it up.