[NordSteve]

Let's imagine you're the pilot, and you're super busy with an emergency. You also know that there are mountains to the east of the airport. You also have ATC on the radio and they know about all of the meaningful obstacles in your area. Asking for lower in this situation (rather than using your emergency authority) is exactly what you want to do.

Looking at the track, they descend to 10000' until they start their downwind to base turn. Once they start that turn, they get a lower altitude (looks like 7000') until they are established on final and can fly an approach.