Saying Emirates agreed to cap passengers is highly misleading. They agreed to cap further sales, with no comment by how much, and refused to do anything about already sold tickets.

some added nuance

> “Emirates has capped further sales on its flights out of Heathrow until mid-August to assist Heathrow in its resource ramp up, and is working to adjust capacity. In the meantime, Emirates flights from Heathrow operate as scheduled and ticketed passengers may travel as booked.”