The four sects never really had a fallout.
Despite the mockery and satire from Non-Phase Peak Master and disciple, which put the ten elders of the other three sects speechless on the spot, nevertheless, the atmosphere was maintained on the level of verbal rather than physical confrontation.
Spirit Sword Sect also didn’t plan to have a fall out because the next thing to do was big, that it needed support from several other sects, especially Shengjing Sect.