A towel's quality can change over time; poor washing methods (separate towels used for different uses) even certain products can affect your towels; so test periodically
There are always places on a car where older microfibers can be used: door jambs, glass, some wheels. A couple of ‘non-scientific test’ you could use to assimilate wither or not a towel (or any other cloth you'd use on a paint surface) will cause scratches, they are not at all scientific nor 100% accurate, they are only indicative of what the towel may do to your paint surface, but then which is preferable to scratch a CD or your paint surface?
Ensure the towels have been washed before carrying out these ‘tests’, and test them using the same criteria you’d use then; damp and remember, even the softest towels will scratch if too much pressure is used,
If the towel does scratch the CD’s surface that doesn’t necessarily mean that it will scratch the vehicles paint, a CD has a much softer surface than automobile paint so use caution, initially trying an inconspicuous area of the paint surface
CD Scratch Test
Take a damp micro fibre cloth and use medium to heavy pressure rub the data surface of a CD. If no scratching is evident then it probably won’t scratch the vehicles paint surface, be aware that the bindings can also cause scratching. Ensure you wash before you use a micro fibre towel for the first time and use it on an inconspicuous area first.