My God, why subject the PAX to such painful, annoying noise?
I've been in the back while the electric hydraulic pump is running, and yes, it is quite annoying. However, with our taxi times, often a single-engine taxi is advantageous. In fact, there are very few times where I will NOT taxi single-engine both on departure and arrival.
If we expect to have a taxi-time that will last longer than 10 minutes, I will start Eng #1 on pushback, since it reduces the noise from the electric pump (already alluded to earlier by baronman). However, if we have a short taxi, I'll just start Eng #2 on the pushback. This way, we can disconnect and send the ramp on their way immediately, so we can taxi away from the gate faster. This saves about two minutes, which often can get us in front of another departure or two, which saves us time at the end of the runway. When you are flying four legs a day, with 30 minute turns, that time can add up... Saving two minutes on pushback, so you get in front of two departures, can save up to ten minutes total. That ten minutes can add up to over 30 minutes of delay by the last leg.
Coming into the gate, shutting down Eng #1 both saves fuel and allows the ramp to start immediately unloading the valet-checked items after we set our brakes. The faster our customers get those bags, they can go on their way, and we can board the next flight. If we are late, small things like that mean we can pull off a 15 minute turn, which can easily get us back on time.
Most importantly, saving 50-100 lbs of fuel by doing a single-engine taxi (or up to 200-300 lbs for a longer taxi) can add up over the course of a month. Since on our "branded" side we pay for our own fuel, I do
everything possible to save fuel, while considering safety first. That directly affects our profit sharing.
So... I apologize to our passengers for the three or four minutes of whiny noise, but it is for a good reason... to get them to their destination on-time or early, and to continuously provide a good product.