Interestingly, the news of Tokugawa's great victory actually calmed the strife in Night City for a bit, even the number of people jumping off buildings noticeably decreased.
Obviously, the Ye Clan slowed down their encirclement of Tokugawa.
After all, if Tokugawa couldn't withstand Hashiba's pressure and was toppled like the others, the Ye Clan naturally had to act quickly, slicing a large piece of fat from Takamanohara's body in secret, lest Hashiba end up too powerful and they couldn't even get a sip of the soup.
But if Tokugawa could grind down Hashiba, bleeding them continuously, and pushing the giant beast Takamanohara into a slow shock death, then the Ye Corporation naturally wouldn't be in a hurry to take down Tokugawa and help the Hashiba family clear out their competitors.