I almost never see violins with a fine-tuner on any but the E string.
Is there any drawback to placing and using fine tuners on lower strings? (Other than the need to use strings with loop ends.)
It's a bit pointless with non-steel strings since the precision of a smooth-moving peg is quite adequate and their range is required since non-steel-core strings hold pitch worse and react to length changes quite less. When moving a fine-tuner too far, you'll damage the violin's top (depending on tail piece and fine tuner construction), so reserving fine-tuners for just the string(s) where they are by far most useful is a good compromise. Also they used to be a noticeable expense.
That being said, I've seen enough violins/tailpieces that apparently came with (identical) fine tuners from the start.