Bloodsport wasnt an actual Soldier
He was delusional.
His any weapon gimmck was impressive, admittedly.
But a move like this would just piss Frank off...
...and unlike Supes, Frank would take (and make) a headshot.
Still this is a featureless environment, so, advantage Bloodsport, in that he can pull out heavy weapons.
But
Skill, experience, cool head under pressure (and the win) goes to Frank.