"Firuzabad Romanized as Fīrūzābād; Middle Persian: Gōr or Ardashir-Khwarrah, literally "The Glory of Ardashir"; also Shahr-e Gūr " (Wiki)
So Shah-e Gur is the same as Ardashir-Kwearrah"
To quote from the ICOMOS AB eval of the Firuzabad elements -
"The Firuzabad group ........contains 5 individual sites. These comprise the Sassanid archaeological remains of the Tang-i Ab valley, a valley of strategic importance, and include the sites of Qaleh Dokhtar, the Ardashir Investiture Relief, the Victory Relief of Ardashir I, Ardashir Khurreh (the Middle-Persian name of Firuzabad) and Ardashir Palace. (my bold)
So - Shah-e Gur IS inscribed as part of the Firuzabad ensemble