Snares don't necessarily need to be treated at all. I have used new snares with success, but with canines, I choose to be scent free....still often set with bare hands in warmer weather at times. I mostly use cotton canvas gloves to handle snares. Like anything though with trapping, the more measures you take to remain scent-free, it pays more in the end and sometimes may not be noticeable.
I recommend a mild simmer in water and baking soda for about 10 minutes... just long enough to get the majority of the manufacturing lubrication off the snares.(2-4 tablespoons of baking soda per gallon of water) The complete removal, 100%, of the lubrication does not need to be removed. Hard boiling galvanized cable messes with the galvanization and is not good. It makes the snare cable brittle and stiff.
If you would like, you can "lightly" spray paint your snares to help blend them into their surroundings. Use any color you wish that helps camo them in their surroundings. I recommend Rustoleum spray from your local hardware. Let paint dry and air out for at least 2 weeks, with 3 being better. Your snares will be ready to take even the most leary coyotes then.
Using a caustic acidic product like vinegar is not a good idea with snares that have aluminum stops or ferrules on them as it compromises the holding integrity of the aluminum micro-fibers imbedded within the striations of the cable that were established in the crimping process.