canine teeth?

if a dog is getting a dental, will they do as much as they can to clean canines before removing them? they aren't loose or anything, no rotten breath, no pain, nothing, so will a vet try to salvage the tooth if possible? (i know this is probably a stupid question i'm sorry)

Species: canine
Age: likely between 9-11/12
Sex/Neuter status: spayed female
Breed: chiweenie/minpin mix + other
Body weight: 15.44 lbs
History: always has had GI issues, and now has mild dental disease
Clinical signs: loosing a tooth, and bad plaque (especially on canines)
Duration: unknown, she doesn't let us check her teeth
Your general location: washington state USA
Links to any test results, X-rays, vet reports etc. that you have: none