Commander Tiger had also stopped paying attention to the battle as well. Ryu had noticed from the beginning that after the first half hour or so, he had disregarded everything to kill the Sovereign he was facing.
From observing his actions over an extended period of time, Ryu was certain that whatever punishment the Sovereign was facing could be weakened the more Sovereigns he killed. He had been lucky to run into such a weak Sovereign today, so he wanted to take advantage.
Even though he was suppressing the Sovereign though, such existences were not easy to kill. It wasn't uncommon for battles to go on for months or years between such powerhouses. But Commander Tiger knew that he had three days at most before a ceasefire was called, so he was being far more forceful.