Does Playing Soccer at High Altitude Really Change How the Ball Travels?

When teams play at high altitude, commentators often mention that the ball travels differently. Is the change in soccer ball flight noticeable during an ordinary match, or does it mainly matter for long passes and shots?

I’m curious how much air density at altitude affects the ball compared with wind, temperature, or the players simply needing time to adjust. Are there good match examples or measurements that show the difference?