I moved here for that very reason. I came as a mountain biker who fell in love with road cycling here as well. I don’t find many of the popular routes to be enjoyable any longer. Try riding Riverside Dr on a busy afternoon, try the Parkway in peak leaf season. There are still quiet country roads left (for now) that I still enjoy but I’m very selective. I used to commute from the county into Asheville almost daily, so my perspective is a bit different.
There are some great gravel roads in Asheville, that’s true, but most are in the surrounding FS areas as well as all the mountain biking. No argument how enjoyable cycling as a whole can be here but road riding here has changed a lot and I’m less inclined to call it cycling friendly.