Wouldn't it form carbides everywhere, especially on the grain
boundaries, particularly with Chromium, serving zero useful purpose
and thereby "robbing" the metal matrix of the solute metals which make
it stainless?
ie. you'd get a brittle material which corrodes badly?
There's extremely high-carbon stainlesses made by powder metallurgy,
giving a pocket knife costing about US$100 and where you can both do
any normal task and shave with it.