This visual execution shows why understanding deep reactivity in Vue matters. We start by creating a reactive object with a nested user property. When we run an effect that logs the user's name, Vue tracks the dependency on the nested property state.user.name. Changing this nested property triggers the effect to re-run and update the output. This deep tracking ensures UI updates correctly when nested data changes. If Vue did not track nested properties, changes inside objects would not trigger updates, causing UI to become out of sync. This example highlights the importance of Vue's deep reactivity system for reliable and responsive interfaces.