Securb
One of Jerry's Kids
Floyds are more sensitive, with greater range and don't go out of tune. You can do subtle stuff with a floyd, but it requires a lighter touch. You can't do extreme with a bigsby, but it's great for subtle shimmery vibrato use.
I divebomb with my Bigsby all the time. Anything I can do with the Floyd or Kahler I can pull off with the Bigsby. I would say yes the Floyd is more sensitive, but Bigsby is not limited in function.