Carbon migration is real but with knowledge it can be managed.
If your into knife work or tools and are serious about making quality blades you should never forge the edge thinner than 3/32" thick.
If using a gas forge get one that is truly adjustable ( air to gas ratio) so you can get as close to a neutral atmosphere as possible.
If using solid fuel be mindful of staying in the neutral zone of the fire.
Do not over heat your material, stay within proper working parameters.
For those of you who feel it's something that shouldn't be considered seriously, lets think about case hardening or the making of shear steel. Two processes while working the opposite of decarbonization during forging are both based on the migration of carbon.
Remember working with small cross sections of material as we tend to do in the home forge makes de- carboning more of an issue. The thinner the material the quicker the decarbonization.