Just a note--some bowyers do, some don't.
I have copies of warranties that state one bowyer will void the warranty on his bows if you use a flemish string, or a dacron string (that's not a typo). Another says "flemish strings are less accurate, and can be dangerous". Yet another blamed a twisted limb on a new longbow (which rendered the bow useless) on the string he supplied with the bow (and will not replace the bow).
In my experience it's rare to run across a bow that "likes" one material over another. It can happen, but not usually. The big differences I've seen are string construction and tuning (or lack thereof), including silencer placement.
There are "band-aids" you can use on a string, just like putting 6" high-back feathers on an arrow to get better flight. It's not fixing the problem, just covering it up.