Tipton developed their carbon rods at the time of Desert Storm. I have seen an advert for one bent in a semi circle without breaking.
None of the various solvents I use have damaged the Tipton. Bore-Tec, Sweets, Shooter Choice, Foam Sprays you mane it. Including cleaning with Brak Kleen.
As others have posted: Highly Polished SS Rods still can peen the barrel, Coated Rods al la PH pick up microscopic grit and tear away. The best of the coated ones are Bore-Tec.
No matter what rod material is used they will all saw away if a correct fitting rod guide is not used.
Always use a rod that is the correct calibre for the barrel. This will minmise "slappig". Don't use a smaller rod in a larger bore.
I have rods to suit 22cal, 6mm, 6.5mm, 284, 30 cal. Yes the cost does run up but is little compared to a stuffed barrel due to poor cleaning techniques and equipment.