"We felt it was important to complete the game and to do so we offered to only bowl our spinners," Germon told AAP.
"We believe the match officials were incorrect in giving teams the option to play and feel the match should have continued as we believe the conditions were safe.
"We believe that the venue has the responsibility to provide floodlighting for the match, including the provision of a back-up power source.
"We have therefore asked Cricket Australia to award Sydney Thunder the two points for a win."
His comments weren't well received by Brisbane opener McCullum, who hit back with questions over the teams' scheduled match in Sydney last week which was called off due to rain, with the Heat winning via the Duckworth-Lewis-Stein method.
"Where was the responsibility to provide a roof at Spotless Stadium when it pissed with rain a week ago?" McCullum asked on Twitter. "Also, are you sure you were winning that game?"