The cooling rate and tolerances for cooling rate for PWHT for Section I are not defined but there are suggested cooling rates in Nonmandatory Appendix A of Section I - see below.
Granted, these are for materials 2" or greater in thickness. For those materials less than 2", you can use the same suggested ramp or cool down rates. What if they exceed this? There is a slight risk of cracking or more likely, thermal distortion.
A-101 HEATING AND COOLING RATES FOR
POSTWELD HEAT TREATMENT
A-101.1 Heating and cooling rates for weldments and
materials should be established by the Manufacturer.
These rates should be sufficient to avoid inducing distortion,
residual stresses, cracking, and other detrimental effects
into the weldment during postweld heat treatment.
Heating and cooling rates should be established based,
in part, upon successful past practice for specific materials
and thicknesses, by using other Codes and Standards as a
guide, or by engineering analysis.