Seymour is unlikely to take Baralai under his wing after the incident if he had dealing with Kinoc.
It was after the incident. The four of them (Baralai, Gippal, Nooj, and Paine) had already gone their seperate ways and Baralai was looking for protection, mainly. Remember, the events in the cave and attempted murder of them occured around the time of opperation Mi'hen. Baralai talked to Seymour shortly before Yuna and the others arrived at his place. That was well after the failed opperation.