Modulates the activity of ATP-hydrolyzing DNA topoisomerase. DNA topoisomerase (ATP-hydrolyzing) regulator activity catalyzes a DNA topological transformation by transiently cleaving a pair of complementary DNA strands to form a gate through which a second double-stranded DNA segment is passed, after which the severed strands in the first DNA segment are rejoined; product release is coupled to ATP binding and hydrolysis; changes the linking number in multiples of 2.