I put my grizzly 60 degree center bought for pen turning in headstock turn on lathe, sand then polish 0000 steel wool.
I get a ring on tip from bushings or mandrel rod. No damage just doesn't look right.
Bought a 60 degree machinist center with with plus/minus -0001 run out and very hard steel back in 1994 for not much money. Still works fine and use it in place of centers that came with lathes have owned.