Some types of unjacketed .223/5.56mm frangible ammunition do increase barrel wear/erosion. The bullets can also (variously) tumble, fragment in flight or break during cycling.
I haven’t found any unjacketed .223/5.56mm that I would recommend. The jacketed stuff from Federal and the 2 military frang rounds (AA50 JSP and the newer stuff done by Black Hills) work well.
Some frangible bullets do incorporate tungsten and other non-lead components for ‘green’ reasons; I can only assume that an unjacketed pill with abrasive or otherwise barrel-unfriendly ingredients could be sub-bueno.
Jacketed LE handgun stuff from Federal, Winchester and Ultramax has worked OK for us. I haven’t used any frangible components for reloading (yet).