Both are themed around a common type of combat move: this card depicts a monster with "I ♥ KICK" printed on his forehead, and "Chopman the Desperate Outlaw" is depicted with "I ♥ CHOP" on his forehead.
This monster's appearance in the card artwork of "Kickfire" parallels the role of "Chopman" in the artwork of "Backfire"; both "Backfire" and "Kickfire" are Continuous Trap Cards with damage-inflicting effects that require FIRE monsters to be destroyed.