As the CarbonSix dealer, I will answer based on my experience and feedback from customers. The following may or may not apply to any other brand.
Weight of a CF wrapped barrel will be around 1/3 lighter for the same SS sporter contour. As a ball park, a #3 contour CF wrapped barrel will weight around the same as a #2 SS contour. This difference grows rapidly when you go to heavier contours.
Weight for weight, a CF barrel will be more thermally stable vs a SS thin contour barrel. As much as they are popular in building a light hunting rifle, this thermal stability really isn't as big a deal as most hunters try not to do mag dumps on game. However, they seem to have a solid cold bore shot... maybe that can be an improvement in the winter vs a steel barrel???? For something like NRL hunter, a CF wrapped barrel can be very positive.
In my testing, I put the 20th 6.5 Creedmoor rd on target at 800'ish yds. Shooting pace was 15 secs or so. Temps was early summer so warm.
Cool faster... this really is dependent on the epoxies used. The C6 barrels I have shot cooled much faster to the touch vs a SS barrel of similar contour.
Weight vs accuracy.. C6 uses a relatively thin steel inner but has the process to still leave a straight shooting barrel.. at a light weight. Some other brands will err on the side of a heavier steel inner to ensure the barrel will shoot but that will end up with a heavier barrel in the same contour. One of the few CF manfs offering an accuracy guarantee.
Wrt to install, you have to decide at purchase the final specs you want on the rifle. A gunsmith will have no issue machining and installing BUT cannot easily change contours and lengths. Also, expect that the contour will vary more vs a steel barrel due to how the CF is wrapped and formed.... this is not the type of barrel to try for that ciggie paper clearance barrel channel.
Costs... about double the other SS options I can offer.
Options... one of the largest selections of contours, finished lengths and prefit options. When compared to peer suppliers, C6 continues to be one of the best priced.
Lead Times... getting better but tend to be longer to get.
If you have any other questions, please pm or email.
Jerry