Usually, it can be assumed that with increasing carbon content the temperature for the onset of residual stress relaxation is lowered and the recovery rate increases. (What is the reason?)
The higher the percentage composition of carbon, the higher the generated internal stresses (an increase in the number of carbides or their geometrical dimensions produces more dislocations). Accordingly, their relaxation will occur earlier (at lower temperatures. Guess why recrystallization begins at lower temperatures, in plastically deformed materials.