No dissagreement on reducing the number of tools for a job! That said, my router is a lot quieter than my cabinet makers saw! Dust collector doesn't really count as it should be used for either, but when I include the vacuum pump, then it just depends on where you stand to decide which is more annoying. Now, using a HAND router, even when new it is noisy.
The noise generated by the cut is comparable, though I would say most materials cut with more noise generated on the table saw than the CNC router. I suppose it depends a lot on what saw is compared to what CNC router though.