Hi goldorak I was referring to that specific scenario but I assume a continuous omni directional pinging would have exposed a Kilo approaching from more than 3 nmi. I admit that it's very hard to find a Kilo passively but that's all more reason the enemy will try to find it with other ways such as disembarked helicopter and active sonar.
Remember the Kilo must maneuver itself first and foremost to the ambush area ahead of the task force vector it can only try to maneuver to pose the minimum cross section to enemy active sonar when it has arrived at its ambush position.

.
Anyway all these are only my personal opinion