The ASME Section VIII Code, Division 1 is intended for thin shell vessels. In UG-27 the shell thickness is not to exceed one half of the inside radius. In the "Pressure Vessel Design Handbook" by H. H. Bednar in section 3.1 states that a shell is treated as thin if R/t >10. This is also a limit in the ASME Code for thin shells with external pressure.
I would have to say that the design equations do not apply equally for thin and thick shells. Thin shells assume a constant membrane stress through the thickness. In a thick shell vessel, the largest stress will be at the ID. Divison 3 of the ASME Code Section VIII covers thick wall vessels. I don't have that part of the code but maybe it contains additional information that defines thick wall vessels.