I would think that height is normally more important than speed. We normally give a heading off BUR of something like 305 to jump the BNN stack straight from departure. If you are given BUR 015, or something similar and you are given climb, this will often be to 'jump' aircraft into BNN. If we want an expedite, we will ask for it.
If you fly a Heavy, we are unlikely to jump the stack and the most you can normally expect would be min stack (FL 70 or 80) underneath BNN.
I'm quite happy to be told ''good rate available'' when you check in.