One aspect that will accelerate linting is using them on paint or glass that hasn't been properly clayed. The contaminants will actually grab and pull fibers from ANY towels, not just Adam's. If you have linting and the loose fibers appear to be "stuck" onto your surface, this is likely the case.
In my experience, it is more likely that newer towels will lint, as there is bound to be some residual fibers leftover from the manufacturing process. This concept exists in other forms of manufacturing, where cast-off particles are still present within the item and should be removed prior to first use. Washing brand new towels first will help alleviate this issue.
For the record, I wash all of my towels by hand, in cool-to-warm water, in a clean bucket, with about a teaspoonful worth of Woolite and a capful of Adam's Microfiber Revitalizer & Brightener. I fill up the bucket with water, add the Woolite, and agitate with my hand for about a minute. I dump out the dirty water, fill it up with clean water and add the Revitalizer, then let them soak for a while. Dump again, rinse, lightly wring out the excess water, and hang dry. Once completely dry I give them a good shake to fluff them back up and they are as good as new.
I have many towels that have seen dozens of uses and washes and do not lint. Are there going to be some towels out there that will lint no matter what? Of course. A 0% failure rate is pretty much impossible with anything. Proper care and use will prolong the life of the towel, and you always have the Adam's guarantee if you run into trouble.