Some of it is era-specific. Miller is a matched vibrato - all going at the same rate and width and more or less constant. It's quite hard as it's quite wide but also fast. Maybe easiest to hear on Moonlight Serenade.
Soli sections are generally expected to be straight, as would backing figures. It should be that the section follows the lead alto though, so long as they are experienced enough.
Horn section. Trumpet is the leader, follow his inflections. Majority probably delivered straight. 'Straight down the pipe.' Colour for long notes - but there may not be many in lead lines. Backing lines play straight unless you feel a reason to colour. Will depend on instrumentation too. Brass-led sections can use less vib than reed-led. Trumpet/Alto/Tenor/Bari or Trumpet/Alto/Trom/Bari - the alto will invariably function as a 2nd trumpet and should be blown as such - big and brassy. Stick to the trumpet like glue, they'll love you for it as it provides them with something to blow against.
Sax quartet will depend on what you are playing, but should come from the soprano player. They will have the top line most often. Not too big unless playing jazz as jazz. Classically, just colour the longer notes - not sure about the inner parts though, if not a lead line. Maybe not, unless a harmony to melodic line.