Watch someone on your team answer a routine support email and time each part. The writing is the short bit.
Most of the clock goes to reconstruction: figuring out what the customer is really asking, finding their order or account, and hunting down what your policy actually says about this exact situation. Then the reply gets written, reread, and softened, because getting the tone wrong with a frustrated customer is expensive.
Now add the switching cost. Every ticket interrupts whatever your team was doing, and the queue never announces when it's done. It just refills.