It’s “Thunderdome” not “Thunderdrome” :P
Yes. Drome is from the Greek word for course (dromos), dome is, well, a dome, and is from the Latin word for house (domus - hence "Romanes eunt domus" ;-p).
Hippodrome (horse racetrack), Rollerdrome (rollerskate facility in my hometown), Palindrome (racecourse for Alaskans), Thunderdome (two men enter, one man leaves).