They do, when the Alphas are available. It's possible here that E35 A & B were working another call (a medical, maybe) when this one dropped and Alpha (the mini, now called "Patrol", though they don't do much patrolling around the airport in the way that LACoFD units of the same name patrol the WUI in the hills around Los Angeles) remained at that one while Bravo (the structural engine) responded to the second one along with the tower.
I used to wait around in front of stations for a while but the only time I do that now is if I’ve got food and I’m close by or something. Most of these clips are from fires and random accidental catches